2. In a psychological experiment, a person must arrange a square, a cube, a circle, a triangle, and
a pentagon in a row. How many different
arrangements are possible?

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

in conclusion 120 different arrangements are possible.

read more about permutations here: link

There are 120 ways to arrange the shapes

Explanation:

Because there are 5 there are 120.

5x4x3x2x1 = 120

I really hope this helps! Happy holidays!

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