1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club me
mbers structure the committee? a. 12 b. 120 c. 720 d. 604,800
1 answer:
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
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