Pertanyaan

Danil memiliki 3 bola merah yang identik, 4 bola biru yang identik, dan 3 bola hijau yang identik. Banyak cara menyusun semua bola Danil secara berdampingan adalah ....

4.200
3.600
2.100
1.440
720

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Habis dalam

Klaim

A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Terdapat 10 bola yakni 3 bola merah, 4 bola biru, dan 3 bola hijau. Maka, banyak cara menyusun semua bola Danil secara berdampingan adalah

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 10 factorial over denominator 3 factorial times 4 factorial times 3 factorial end fraction end cell equals cell fraction numerator 10 cross times 9 cross times 8 cross times 7 cross times 6 cross times 5 cross times 4 factorial over denominator 3 factorial times 4 factorial times 3 factorial end fraction end cell row blank equals cell fraction numerator 10 cross times 9 cross times 8 cross times 7 cross times 6 cross times 5 horizontal strike cross times 4 factorial end strike over denominator 3 factorial times horizontal strike 4 factorial times end strike 3 factorial end fraction end cell row blank equals cell fraction numerator 10 cross times 9 cross times 8 cross times 7 cross times 6 cross times 5 over denominator 3 cross times 2 cross times 1 times 3 cross times 2 cross times 1 end fraction end cell row blank equals cell fraction numerator 10 cross times 9 cross times 8 cross times 7 horizontal strike cross times 6 end strike cross times 5 over denominator horizontal strike 3 cross times 2 cross times 1 end strike times 3 cross times 2 cross times 1 end fraction end cell row blank equals cell fraction numerator 10 cross times 9 cubed cross times 8 to the power of 4 cross times 7 cross times 5 over denominator horizontal strike 3 cross times 2 end strike end fraction end cell row blank equals cell 10 cross times 3 cross times 4 cross times 7 cross times 5 end cell row blank equals cell 4.200 end cell end table end style$