Question

How many ways can 3 fraternity members be selected from 20 members to serve as president, vice president, and treasurer?

A) 1,140
B) 6,840
C) 11,960
D) 20,460

Answer 1

To select 3 fraternity members from a group of 20 members for the positions of president, vice president, and treasurer, there are 6,840 possible ways.

Step-by-step explanation:

To calculate the number of ways to select 3 fraternity members from a group of 20 members for the positions of president, vice president, and treasurer, we can use the concept of permutations.

1. First, we have 20 choices for the position of president.
2. After choosing the president, we now have 19 choices for the position of vice president, as one member has already been selected.
3. Finally, for the position of treasurer, we have 18 choices, as two members have already been selected.

To find the total number of ways, we multiply all these choices together: 20 x 19 x 18 = 6,840.

Therefore, the correct answer is B) 6,840.