There are 6 women and 5 men interviewing for 4 cashier positions at Walmart. In how many ways can the positions be filled if 2 women and 2 men are hired?

The number of ways the position can be filled with 2 women and 2 mean is 150

The number of people is:

The number of selection is:

So, the number of ways of selection is calculated using:

This gives

Apply combination formula

Hence, the number of ways the position can be filled with 2 women and 2 mean is 150

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The positions can be filled in 150 ways.

Step-by-step explanation:

The order in which the people are chosen is not important. For example, A, B, C, D is the same outcome as B, A, C, D. So we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the positions be filled if 2 women and 2 men are hired?

2 women from a set of 6.

2 men from a set of 5.

So

The positions can be filled in 150 ways.