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never [62]
2 years ago
15

A committee is to consist of two members. If there are five men and six women

Mathematics
1 answer:
kenny6666 [7]2 years ago
7 0

Answer: The number of different committees can be  formed = 55.

Step-by-step explanation:

Given: Number of members in a committee = 2

There are five men and six women  available to serve on the committee.

That means, Total persons available to serve on the committee = 5+6=11

Number of combinations of choosing r things from n things is given by:-

^nC_r=\dfrac{n!}{r!(n-r)!}

So, the number of ways to choose 2 members out of 11 = ^{11}C_2=\dfrac{11!}{2!9!}

=\dfrac{11\times10}{2}=55

Hence, the number of different committees can be  formed = 55

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