Iklan

Iklan

Pertanyaan

Tunjukkanlah bahwa: P ( n , k ) = n ( n − 1 ) ( n − 2 ) ( n − 3 ) ( n − 4 ) P ( n − 5 , k − 5 )

 Tunjukkanlah bahwa:

 

Iklan

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Iklan

Pembahasan

Pembahasan
lock

Rumus permutasi adalah Perhatikan pembuktian berikut! Jadi, terbukti bahwa

Rumus permutasi adalah undefined 

Perhatikan pembuktian berikut!

begin mathsize 14px style P italic left parenthesis n italic comma italic space k italic right parenthesis italic equals n italic left parenthesis n italic minus italic 1 italic right parenthesis italic left parenthesis n italic minus italic 2 italic right parenthesis italic left parenthesis n italic minus italic 3 italic right parenthesis italic left parenthesis n italic minus italic 4 italic right parenthesis P italic left parenthesis n italic minus italic 5 italic comma k italic minus italic space italic 5 italic right parenthesis fraction numerator n italic factorial over denominator italic left parenthesis n italic minus k italic right parenthesis italic factorial end fraction italic equals n italic left parenthesis n italic minus italic 1 italic right parenthesis italic left parenthesis n italic minus italic 2 italic right parenthesis italic left parenthesis n italic minus italic 3 italic right parenthesis italic left parenthesis n italic minus italic 4 italic right parenthesis italic times fraction numerator begin italic style left parenthesis n minus 5 right parenthesis end style italic factorial over denominator begin italic style left curly bracket left parenthesis n minus 5 right parenthesis minus left parenthesis k minus 5 right parenthesis right curly bracket end style italic factorial end fraction fraction numerator n italic factorial over denominator italic left parenthesis n italic minus k italic right parenthesis italic factorial end fraction italic equals fraction numerator n italic left parenthesis n italic minus italic 1 italic right parenthesis italic left parenthesis n italic minus italic 2 italic right parenthesis italic left parenthesis n italic minus italic 3 italic right parenthesis italic left parenthesis n italic minus italic 4 italic right parenthesis begin italic style left parenthesis n minus 5 right parenthesis end style italic factorial over denominator begin italic style left parenthesis n minus 5 minus k plus 5 right parenthesis end style italic factorial end fraction fraction numerator n italic factorial over denominator italic left parenthesis n italic minus k italic right parenthesis italic factorial end fraction italic equals fraction numerator n italic factorial over denominator italic left parenthesis n italic minus k italic right parenthesis italic factorial end fraction end style 

Jadi, terbukti bahwa

begin mathsize 14px style P italic left parenthesis n italic comma italic space k italic right parenthesis italic equals n italic left parenthesis n italic minus italic 1 italic right parenthesis italic left parenthesis n italic minus italic 2 italic right parenthesis italic left parenthesis n italic minus italic 3 italic right parenthesis italic left parenthesis n italic minus italic 4 italic right parenthesis P italic left parenthesis n italic minus italic 5 italic comma k italic minus italic space italic 5 italic right parenthesis end style 

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

11

Iklan

Iklan

Pertanyaan serupa

Terdapat beberapa buku referensi pelajaran di suatu rak buku. Terdapat 2 buku matematika, 3 buku fisika, 1 buku biologi, dan 2 buku kimia. Jika buku-buku tersebut disusun berjajar dengan aturan buku s...

25

3.7

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia