In order to solve this problem, we would have to use the permutation formula
We have 1 square, 1 cube, 1 circle, 1 pentagon and 1 triangle. So the total number of shapes n = 1+1+1+1+1 = 5
the permutation formula is

we already know that n = 5
r = the number of items that are to be chosen from. This is also 5
When we put these values into the formula we have:

from here we are to find the value of 5!
5! = 5*4*3*2*1 = 120
<em>in conclusion 120 different arrangements are possible.</em>
read more about permutations here: brainly.com/question/23280581?referrer=searchResults