Question

How many different ways could seven birds perch around a circular bird bath? A) 5,040. B) 4,320. C) 721

Answer 1

720

Explanation:

Seven birds perch around a circular bird bath.

Here we have to use permutation because we need to arrange the seven bird.

In circular arrangement. for n number of object. It would be (n-1)! because last object would be identical to first one.

In circular permutation, Number of object reduce by 1.

Here, we need to find number of ways of seven birth around circular bath.

Total number of ways = (7-1)!

⇒ 6!

⇒ 6x5x4x3x2x1

⇒ 720

Hence, 720 ways could seven birds perch around a circular bird bath.

Answer 2

Out of the choices given, the amount of different ways that 7 birds can perch around a circular bird bath is 721. The answer will be C.

The equation for the answer is (7−1)!=720