In a club there is 13 women and 8 men. A committee of 9 women and 4 men is to be chosen. How many different ways are there to select the committee?

A. 50,050 ways
B. 3,744 ways
C. 273 ways
D. 34 ways

The total number of ways to select 9 women and 4 men for the committee is 50,050.

Step-by-step explanation:

The club has 13 female members and 8 male members.

The committee to be formed must have 9 female members and 4 male members.

The possible number of ways to select 9 female from 13 females is:

The possible number of ways to select 4 male from 8 males is:

Compute the possible total number of ways to select 9 women and 4 men for the committee as follows:

Total number of ways to select 9 women and 4 men = n (F) × n (M)

Thus, the total number of ways to select 9 women and 4 men for the committee is 50,050.

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