A jar contains nine black buttons and seven brown if nine button are picked at random what is the probability that exactly five of them are black is it perm or comb

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asked May 24, 2021 107k views

2 votes

A jar contains nine black buttons and seven brown if nine button are picked at random what is the probability that exactly five of them are black is it perm or comb

Mathematics
college

Lxt asked

by Lxt

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1 Answer

3 votes

Answer:

Explanation:

P=(9C5×7C4)/16C9

$9C5 * 7C4=(9*8*7*6*5)/(5*4*3*2*1) * (7*6*5*4)/(4*3*2*1)\\=9*7*2 *(7*5)\\=90*49\\\\=4410\\16C9=16C(16-9)=16C7\\=(16*15*14*13*12*11*10)/(7*6*5*4*3*2*1)\\=16*5*13*11\\=11440$