Question

The lifeguards at the beach post information of surfers by placing 3 flags, one above the other, on a flag pole. If there are 7 different flags available, how many possible signals can be flown?

Answer 1

Hello! The answer to your question would be as followed:

The amount of possible signals that can be shown is 210.

7^p3

Answer 2

Answer: 210

Explanation:

Given : The number of flags available = 7

The number of flags required = 3

Since for the arrangement of flags , the order matters.

So we apply permutation to find the number of possible signals.

The number of possible signals of 7 flags taking 3 at a time is given by :-

`^7P_3=(7!)/((7-3)!)=(7*6*5*4!)/(4!)=210`

Hence, the number of possible signals of 7 flags taking 3 at a time is 210