Iklan

Iklan

Pertanyaan

Tunjukkan bahwa P ( n , r ) = r ! C ( n , r )

Tunjukkan bahwa  

Iklan

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

terbukti bahwa

terbukti bahwa P left parenthesis n comma space r right parenthesis equals r factorial space C left parenthesis n comma space r right parenthesis 

Iklan

Pembahasan

Ingat kembali bahwa Sehingga Jadi, terbukti bahwa

Ingat kembali bahwa 

P left parenthesis n comma space r right parenthesis equals fraction numerator n factorial over denominator left parenthesis n minus r right parenthesis factorial end fraction C left parenthesis n comma space r right parenthesis equals fraction numerator n factorial over denominator r factorial space left parenthesis n minus r right parenthesis factorial end fraction 

Sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell P left parenthesis n comma space r right parenthesis end cell equals cell r factorial space C left parenthesis n comma space r right parenthesis end cell row cell fraction numerator n factorial over denominator left parenthesis n minus r right parenthesis factorial end fraction end cell equals cell up diagonal strike r factorial end strike space cross times fraction numerator n over denominator up diagonal strike r factorial end strike space left parenthesis n minus r right parenthesis factorial end fraction end cell row blank equals cell fraction numerator n factorial over denominator left parenthesis n minus r right parenthesis factorial end fraction end cell end table 

Jadi, terbukti bahwa P left parenthesis n comma space r right parenthesis equals r factorial space C left parenthesis n comma space r right parenthesis 

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

7

Iklan

Iklan

Pertanyaan serupa

Diketahui: , maka nilai

3

3.3

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