Question

How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?A. 32B. 3,024C. 24D. 1,680

Answer 1

When we need to know how many combinations we can get from a number of objects and the order is relevant, one could use "permutations". The formula is:

`k=nPr=(n!)/((n-r)!)`

Where k is the number of permutations, n is the total number of objects and r is the number of those you want to choose. In this exercise, we set n=9, r=4.

`k=(9!)/((9-4)!)=(9!)/(5!)=3024`

Therefore, we could choose president, vice-president, secretary, and treasurer in 3024 ways from a club of 9 people. Answer B.