In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?

Question

Dempsey

Mathematics

22 October, 23:45

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?

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Pruitt · Answer 1

This is the concept of application of combinations. The number of ways that 4 rooms can be filled 28 people will be given by:

28C4

=20,475

There are 20,475 ways that the rooms could be filled.