229k views
2 votes
A student club has 12 members. How many ways can the club choose a President, Vice President, Secretary, and Treasurer?

User Shayan C
by
6.1k points

2 Answers

6 votes
there are 11,880 ways to choose
User Aprok
by
5.9k points
2 votes

Answer:

495ways

Explanation:

Since we are selecting 4 members as part of the executive out of total of 12 more members, this can be done in 12C4 ways since combination has to do with selection.

Generally, nCr = n!/(n-r)!r!

12C4 = 12!/(12-4)!4!

12C4 = 12!/8!4!

12C4 = 12×11×10×9×8!/8!4!

12C4 = 12×11×10×9/4×3×2

12C4 = 495ways

Selection of President, Vice President, Secretary, and Treasurer out of the members can be done in 495ways

User Troels Larsen
by
6.2k points
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