Question

The Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, Treasurer, and Historian. How many ways can a 5-member committee be formed?
A. 150
B. 3735
C. 142,506
D. 17,100,720

Answer 1

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

How to calculate the value?

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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