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Tulislah himpunan bagian yang tidak kosong dari himpunan berikut! b.

Tulislah himpunan bagian yang tidak kosong dari himpunan berikut!

b. L equals open curly brackets huruf space pembentuk space kata space " kemasan " close curly brackets

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R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

himpunan bagian yang tidak kosong dari himpunan adalah , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , dan .

 himpunan bagian yang tidak kosong dari himpunan L equals open curly brackets huruf space pembentuk space kata space " kemasan " close curly brackets adalah open curly brackets k close curly brackets, open curly brackets e close curly brackets, open curly brackets m close curly brackets, open curly brackets a close curly brackets, open curly brackets s close curly brackets, open curly brackets n close curly brackets, open curly brackets k comma space e close curly brackets, open curly brackets k comma space m close curly brackets, open curly brackets k comma space a close curly brackets, open curly brackets k comma space s close curly brackets, open curly brackets k comma space n close curly brackets, open curly brackets e comma space m close curly brackets, open curly brackets e comma space a close curly brackets, open curly brackets e comma space s close curly brackets, open curly brackets e comma space n close curly brackets, open curly brackets m comma space a close curly brackets, open curly brackets m comma space s close curly brackets, open curly brackets m comma space n close curly brackets, open curly brackets a comma space s close curly brackets, open curly brackets a comma space n close curly brackets, open curly brackets s comma space n close curly brackets,  open curly brackets k comma space e comma space m close curly brackets, open curly brackets k comma space e comma space a close curly brackets, open curly brackets k comma space e comma space s close curly brackets, open curly brackets k comma space e comma space n close curly brackets, open curly brackets k comma space m comma space a close curly brackets, open curly brackets k comma space m comma space s close curly brackets, open curly brackets k comma space m comma space n close curly brackets, open curly brackets k comma space a comma space s close curly brackets, open curly brackets k comma space a comma space n close curly brackets, open curly brackets k comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a close curly brackets, open curly brackets e comma space m comma space s close curly brackets, open curly brackets e comma space m comma space n close curly brackets, open curly brackets e comma space a comma space s close curly brackets, open curly brackets e comma space a comma space n close curly brackets, open curly brackets e comma space s comma space n close curly brackets, open curly brackets m comma space a comma space s close curly brackets, open curly brackets m comma space a comma space n close curly brackets, open curly brackets m comma space s comma space n close curly brackets, open curly brackets a comma space s comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a close curly brackets, open curly brackets k comma space e comma space m comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s close curly brackets, open curly brackets k comma space e comma space a comma space n close curly brackets, open curly brackets k comma space e comma space s comma space n close curly brackets, open curly brackets k comma space m comma space a comma space s close curly brackets, open curly brackets k comma space m comma space a comma space n close curly brackets, open curly brackets k comma space m comma space s comma space n close curly brackets, open curly brackets k comma space a comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a comma space s close curly brackets, open curly brackets e comma space m comma space a comma space n close curly brackets, open curly brackets e comma space m comma space s comma space n close curly brackets, open curly brackets e comma space a comma space s comma space n close curly brackets, open curly brackets m comma space a comma space s comma space n close curly brackets, open curly brackets k comma space e comma space m comma space a comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s comma space n close curly brackets,  open curly brackets e comma space m comma space a comma space s comma space n close curly brackets, open curly brackets k comma space e comma space m comma space a comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a comma space s comma space n close curly brackets, dan open curly brackets k comma space e comma space m comma space a comma space s comma space n close curly brackets.

Pembahasan

b. Diketahui . Kata "kemasan" terdiri atas huruf, yaitu , , , , , , dan . Huruf yang sama hanya boleh ditulis satu kali, maka dengan mendaftar anggota-anggotanya, himpunan sebagai berikut. Banyak anggota himpunan adalah , maka banyak himpunan bagiandapat dilihat dari bilangan-bilangansegitiga pascal baris ke . Bilangan segitiga pascal baris ke adalah , , , , , , dan . Dimulai dari bilangan , tersebut menunjukkan banyak himpunan bagian dengan anggota. Lalu, bilangan dikanannya secara berurutan menunjukkan banyak himpunan bagian dengan , anggota dan seterusnya, maka diperoleh: Banyak himpunan bagian yang mempunyai anggota adalah , yaitu , , , , ,dan . Banyak himpunan bagian yang mempunyai anggota adalah yaitu , , , , , , , , , , , , , , dan . Banyak himpunan yang mempunyai anggota adalah yaitu , , , , , , , , , , , , , , , , , , , dan . Banyak himpunan yang mempunyai anggota adalah yaitu , , , , , , , , , , , , , , dan . Banyak himpunan yang mempunyai anggota adalah yaitu , , , , dan . Banyak himpunan yang mempunyai anggota yaitu himpunan itu sendiri(himpunan ). Dengan demikian,himpunan bagian yang tidak kosong dari himpunan adalah , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , dan .

b. Diketahui L equals open curly brackets huruf space pembentuk space kata space " kemasan " close curly brackets. Kata "kemasan" terdiri atas 7 huruf, yaitu k, e, m, a, Error converting from MathML to accessible text., a, dan n. Huruf yang sama hanya boleh ditulis satu kali, maka dengan mendaftar anggota-anggotanya, himpunan L sebagai berikut.

L equals open curly brackets k comma space e comma space m comma space a comma space s comma space n close curly brackets

Banyak anggota himpunan L adalah 6, maka banyak himpunan bagian dapat dilihat dari bilangan-bilangan segitiga pascal baris kenegative 7. Bilangan segitiga pascal baris kenegative 7 adalah 1, 6, 15, 20, 15, 6, dan 1. Dimulai dari bilangan 6, 6 tersebut menunjukkan banyak himpunan bagian dengan 1 anggota. Lalu, bilangan dikanannya secara berurutan menunjukkan banyak himpunan bagian dengan 2, 3 anggota dan seterusnya, maka diperoleh:

  1. Banyak himpunan bagian yang mempunyai 1 anggota adalah 6, yaitu open curly brackets k close curly brackets, open curly brackets e close curly brackets, open curly brackets m close curly brackets, open curly brackets a close curly brackets, open curly brackets s close curly brackets, dan open curly brackets n close curly brackets.
  2. Banyak himpunan bagian yang mempunyai 2 anggota adalah 15 yaitu open curly brackets k comma space e close curly brackets, open curly brackets k comma space m close curly brackets, open curly brackets k comma space a close curly brackets, open curly brackets k comma space s close curly brackets, open curly brackets k comma space n close curly brackets, open curly brackets e comma space m close curly brackets, open curly brackets e comma space a close curly brackets, open curly brackets e comma space s close curly brackets, open curly brackets e comma space n close curly brackets, open curly brackets m comma space a close curly brackets, open curly brackets m comma space s close curly brackets, open curly brackets m comma space n close curly brackets, open curly brackets a comma space s close curly brackets, open curly brackets a comma space n close curly brackets, dan open curly brackets s comma space n close curly brackets. 
  3. Banyak himpunan yang  mempunyai 3 anggota adalah 20  yaitu open curly brackets k comma space e comma space m close curly brackets, open curly brackets k comma space e comma space a close curly brackets, open curly brackets k comma space e comma space s close curly brackets, open curly brackets k comma space e comma space n close curly brackets, open curly brackets k comma space m comma space a close curly brackets, open curly brackets k comma space m comma space s close curly brackets, open curly brackets k comma space m comma space n close curly brackets, open curly brackets k comma space a comma space s close curly brackets, open curly brackets k comma space a comma space n close curly brackets, open curly brackets k comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a close curly brackets, open curly brackets e comma space m comma space s close curly brackets, open curly brackets e comma space m comma space n close curly brackets, open curly brackets e comma space a comma space s close curly brackets, open curly brackets e comma space a comma space n close curly brackets, open curly brackets e comma space s comma space n close curly brackets, open curly brackets m comma space a comma space s close curly brackets, open curly brackets m comma space a comma space n close curly brackets, open curly brackets m comma space s comma space n close curly brackets, dan open curly brackets a comma space s comma space n close curly brackets.
  4. Banyak himpunan yang mempunyai 4 anggota adalah 15 yaitu open curly brackets k comma space e comma space m comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a close curly brackets, open curly brackets k comma space e comma space m comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s close curly brackets, open curly brackets k comma space e comma space a comma space n close curly brackets, open curly brackets k comma space e comma space s comma space n close curly brackets, open curly brackets k comma space m comma space a comma space s close curly brackets, open curly brackets k comma space m comma space a comma space n close curly brackets, open curly brackets k comma space m comma space s comma space n close curly brackets, open curly brackets k comma space a comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a comma space s close curly brackets, open curly brackets e comma space m comma space a comma space n close curly brackets, open curly brackets e comma space m comma space s comma space n close curly brackets, open curly brackets e comma space a comma space s comma space n close curly brackets, dan open curly brackets m comma space a comma space s comma space n close curly brackets.
  5. Banyak himpunan yang mempunyai 5 anggota adalah 5 yaitu open curly brackets k comma space e comma space m comma space a comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s comma space n close curly brackets, dan open curly brackets e comma space m comma space a comma space s comma space n close curly brackets.
  6. Banyak himpunan yang mempunyai 6 anggota yaitu himpunan itu sendiri (himpunan L).

Dengan demikian, himpunan bagian yang tidak kosong dari himpunan L equals open curly brackets huruf space pembentuk space kata space " kemasan " close curly brackets adalah open curly brackets k close curly brackets, open curly brackets e close curly brackets, open curly brackets m close curly brackets, open curly brackets a close curly brackets, open curly brackets s close curly brackets, open curly brackets n close curly brackets, open curly brackets k comma space e close curly brackets, open curly brackets k comma space m close curly brackets, open curly brackets k comma space a close curly brackets, open curly brackets k comma space s close curly brackets, open curly brackets k comma space n close curly brackets, open curly brackets e comma space m close curly brackets, open curly brackets e comma space a close curly brackets, open curly brackets e comma space s close curly brackets, open curly brackets e comma space n close curly brackets, open curly brackets m comma space a close curly brackets, open curly brackets m comma space s close curly brackets, open curly brackets m comma space n close curly brackets, open curly brackets a comma space s close curly brackets, open curly brackets a comma space n close curly brackets, open curly brackets s comma space n close curly brackets,  open curly brackets k comma space e comma space m close curly brackets, open curly brackets k comma space e comma space a close curly brackets, open curly brackets k comma space e comma space s close curly brackets, open curly brackets k comma space e comma space n close curly brackets, open curly brackets k comma space m comma space a close curly brackets, open curly brackets k comma space m comma space s close curly brackets, open curly brackets k comma space m comma space n close curly brackets, open curly brackets k comma space a comma space s close curly brackets, open curly brackets k comma space a comma space n close curly brackets, open curly brackets k comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a close curly brackets, open curly brackets e comma space m comma space s close curly brackets, open curly brackets e comma space m comma space n close curly brackets, open curly brackets e comma space a comma space s close curly brackets, open curly brackets e comma space a comma space n close curly brackets, open curly brackets e comma space s comma space n close curly brackets, open curly brackets m comma space a comma space s close curly brackets, open curly brackets m comma space a comma space n close curly brackets, open curly brackets m comma space s comma space n close curly brackets, open curly brackets a comma space s comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a close curly brackets, open curly brackets k comma space e comma space m comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s close curly brackets, open curly brackets k comma space e comma space a comma space n close curly brackets, open curly brackets k comma space e comma space s comma space n close curly brackets, open curly brackets k comma space m comma space a comma space s close curly brackets, open curly brackets k comma space m comma space a comma space n close curly brackets, open curly brackets k comma space m comma space s comma space n close curly brackets, open curly brackets k comma space a comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a comma space s close curly brackets, open curly brackets e comma space m comma space a comma space n close curly brackets, open curly brackets e comma space m comma space s comma space n close curly brackets, open curly brackets e comma space a comma space s comma space n close curly brackets, open curly brackets m comma space a comma space s comma space n close curly brackets, open curly brackets k comma space e comma space m comma space a comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s comma space n close curly brackets,  open curly brackets e comma space m comma space a comma space s comma space n close curly brackets, open curly brackets k comma space e comma space m comma space a comma space s close curly brackets, open curly brackets k comma space e comma space m comma space a comma space n close curly brackets, open curly brackets k comma space e comma space m comma space s comma space n close curly brackets, open curly brackets k comma space e comma space a comma space s comma space n close curly brackets, open curly brackets e comma space m comma space a comma space s comma space n close curly brackets, dan open curly brackets k comma space e comma space m comma space a comma space s comma space n close curly brackets.

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