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?

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:-

So, the number of ways to choose 2 members out of 11 =

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

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