In how many ways committee of 8 people can be chosen out of 10 men and 6 women if there needs to be at least 5 women?

The selection of members of the committee is an illustration of combination.

The number of ways of selection is 765

The given parameters are:

At least 5 women means that:

So, the possible selection is:

Apply combination formula

Hence, the number of ways of selection is 765

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765

Step-by-step explanation:

Given in the question,

number of people to be choose with at least 5 women in it = 8

There are 2 ways to choose 8 members

1)

5 women

(6C5)(10C3)

6x120

720

2)

6 women

(6C6)(10C2)

1x45

45

Our final answer is 720 + 45 = 765 ways

Formula to calculate

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

50

step-by-step explanation: