A company is looking to fill its Board of Directors position. 3 positions will be for men, 2 positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

Where

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

Where

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

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