Solve the problem.
-Four different colored flags will be placed on a pole, one beneath another. The arrangement of the colors indicates the message. How many messages are possible if 4 flags are to be selected from 11 different colored
Flags?
A)1,663,200
B)7920
C)11
D)4

Question

Quizplus · Accepted Answer

The number of possible messages is calculated using permutations since the order of the flags matters. With 11 flags to choose from and 4 positions to fill, the formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items to pick from, r is the number of items to pick, n! denotes the factorial of n, and (n-r)! is the factorial of the difference between n and r. Here, n = 11 and r = 4, so P(11, 4) = 11! / (11-4)! = 11! / 7! = (11 × 10 × 9 × 8) = 7920.

Solve the Problem. -Four Different Colored Flags Will Be Placed on a Pole