The Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, Treasurer, a

Question

Katena32 [7]

2 years ago

11

The Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, Treasurer, a

nd Historian. How many ways can a 5-member committee be formed?
A. 150
B. 3735
C. 142,506
D. 17,100,720

Mathematics

1 answer:

Ludmilka [50] · Answer 1 · 2024-02-01T04:47:23+03:00

The number of ways can a 5-member committee be formed will be C. 142,506. This is illustrated through permutations and combination.

<h3>How to calculate the value?</h3>

From the information, the Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, Treasurer, and Historian.

The number of ways can a 5-member committee be formed will be:

= 30!/(30 - 5)!5!

= 30!/25!5!

= (30 × 29 × 28 × 27 × 26)/(5 × 4 × 3 × 2 × 1)

= 142506

Learn more about permutations on:

brainly.com/question/4658834

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