We want to find in how many different ways we can arrange the shown picture frames in a line on the wall. Note that, in this case, the order is important. This means that each possible arrangement is a permutation. To calculate the answer, we can use the Fundamental Counting Principle.
?*?*?*?*?
Because we have 5 picture frames, we can choose the first frame in 5 ways.
5*?*?*?*?
Next, we are left with 4 options for the second frame, 3 options for the third frame, and so on.
5*4*3*2*1 =120
There are 120 ways in which we can arrange 5 picture frames in a line on the wall.
