From a group of 10 women and 15 men, a researcher wants to randomly select women and men for a study in how many ways can the study group be selected?
O A 17,876
78,016,400
OG 105, 102,625
OD 00,000,000
WO

The total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

Step-by-step explanation:

The complete question is:

From a group of 10 women and 15 men, a researcher wants to randomly select  5 women and 5 men for a study in how many ways can the study group be selected?

Solution:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

The number of women in the group: .

The number of women the researcher selects for the study,

Compute the total number of ways to select 5 women from 10 as follows:

The number of men in the group: .

The number of men the researcher selects for the study,

Compute the total number of ways to select 5 men from 15 as follows:

Compute the total number of ways the researcher can select  5 women and 5 men for a study as follows:

Thus, the total number of ways the researcher can select  5 women and 5 men for a study is 7,56,756.

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