76.7k views
0 votes
A committee is to consist of two members. If there are five men and six women

available to serve on the committee, how many different committees can be
formed?

1 Answer

3 votes

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

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=(n!)/(r!(n-r)!)

So, the number of ways to choose 2 members out of 11 =
^(11)C_2=(11!)/(2!9!)


=(11*10)/(2)=55

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

User Frank Wang
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories