there are five empty chairs in a row.if six men and four women are waiting to be seated,what is the propability that the seats will be occupied by two men and three women?
a)5/21
b)4/17
c)3/25
d)1/6
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Given : there are five empty chairs in a row.
6 men and 4 women have to sit
To Find : the probability that the chairs will get occupied by two men and three women
a)5/21
b)4/17
c)3/25
d)1/6
Solution:
6 men and 4 women
total = 6 + 4 = 10
5 seats can be filled in ¹⁰C₅ = 252 ways
2 men and 3 women can be selected in ⁶C₂ * ⁴C₃
= 15 * 4
= 60 ways
probability that the chairs will get occupied by two men and three women
= 60/252
= 5/21
probability that the chairs will get occupied by two men and three women
is 5/21
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