A sailboat owner received 9 different signal flags with his new sailboat. If the order in which the flags are arranged on the mast determines the signal being sent, how many 4-flag signals can be sent?
A)151,200
B)30,240
C)13
D)36
E)3,024

Question

A sailboat owner received 9 different signal flags with his new sailboat. If the order in which the flags are arranged on the mast determines the signal being sent, how many 4-flag signals can be sent? ​
A)151,200
B)30,240
C)13
D)36
E)3,024

Quizplus · Accepted Answer

To find the number of arrangements of 4 flags out of 9, we can use the formula for combinations: C(9,4) = 9!/(4!5!) = 126. However, since the order of the flags matters, we need to find the number of permutations of those 4 flags, which is 4! = 24. Therefore, the total number of 4-flag signals that can be sent is 126 x 24 = 3,024. The correct answer choice is E.

A Sailboat Owner Received 9 Different Signal Flags with His