Question

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?.

Answer 1

The total possibilities can be 756 ways.

What is combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

Given:

The number of ways in which we can select atleast 3 men in the committee are 756.

Number of men = 7

Number of women = 6

Number of people that should be selected in the committee = 5

Now,

N(M = 3) = 7C_3* 6C_2

=35*15

=525

N(M = 4) = 7C_4* 6C_1

=35*6

=210

N(M = 3) = 7C_5* 6C_0

=21*1

=21

So, total possibilities can be = 525 + 210 + 21 = 756 ways.

learn more about combination here:

brainly.com/question/28390900

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