Question

"Julie has six photos that she has taken, framed and are hanging in a row on the wall. If she wants to rearrange them so that the middle two photos stay in place, how many different ways can she arrange the photos?"

Answer 1

Julie has 6 photos that she wants to rearrange.

Two of them are fixed at the middle position.

=> There are 4 photos left for rearranging.

=> This is the permutation with n = 4, k = 4.

=> The number of ways Julie can arrange the photos:

N = 4 x 3 x 2 x 1 = 24 ways

Hope this helps!

:)