Question

select the correct answer.

at a high school there are 53 players on the football team, 15 players on the baseball team, and 12 players on the basketball team. how many ways can a committee be formed with 1 representative from each team?

a. 180

b. 3,180

c. 9,540

d. 8,162

Explanation:

Step1: Apply multiplication principle

Multiply team sizes together.
$\text{Total ways} = 53 \times 15 \times 12$

Step2: Calculate intermediate product

Compute 53 times 15 first.
$53 \times 15 = 795$

Step3: Compute final total

Multiply result by 12.
$795 \times 12 = 9540$

Answer:

C. 9,540