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A science club has 16 members. How many ways can a president, a Vice President, and a treasurer be selected from the members?

User Ctorx
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1 Answer

2 votes

Answer:

3,360

Explanation:

We calculate the number of permutations for this problem where the order in which we accommodate people matters to us as follows:


P=(n!)/((n-r)!)

where n is the total number of options we have; the total number of members:
n=16

and r is the number of places or positions we are considering which in this case are the President position, the Vice president position and the treasurer position ⇒ 3 positions in total ⇒
r=3

substituting n and r in the formula:


P=(16!)/((16-3)!) \\\\P=(16!)/(13!) \\\\P=3,360

A president, a Vice President, and a treasurer can be selected from the members in 3,360 ways

User Vitakot
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