How many ways can 6 flags be arranged on a flag pole, one above the other, if there are 8 different flags to choose from?
A) 64
B) 20,160
C) 262,144
D) 36
E) 28

Question

Quizplus · Accepted Answer

There are 8 choices for the first flag, 7 choices for the second flag, 6 choices for the third flag, and so on until there are only 3 choices for the sixth and final flag. Therefore, the total number of arrangements is 8 x 7 x 6 x 5 x 4 x 3 = 20,160.

How Many Ways Can 6 Flags Be Arranged on a Flag