Question

You have a pool of 10 men and 16 women, and you need to form a 9-member coed softball team made up of four men and five women. In how many ways can you do this?

Answer 1

To form a 9-member coed softball team with 4 men and 5 women from a pool of 10 men and 16 women, there are 916,080 ways to do this.

Step-by-step explanation:

To form a 9-member coed softball team with 4 men and 5 women from a pool of 10 men and 16 women, we can use combinations.

The number of ways to choose 4 men from 10 is denoted as C(10, 4) = (10!)/(4!(10-4)!) = 210.

The number of ways to choose 5 women from 16 is denoted as C(16, 5) = (16!)/(5!(16-5)!) = 4368.

To determine the number of ways to form a coed softball team, we multiply these two values: 210 * 4368 = 916,080.

Therefore, there are 916,080 ways to form the coed softball team.