Helena has five pictures to hang on her wall, from left to right. How many different arrangements of the pictures can she make?

Respuesta :

If she has 5 options to put on the first section then on the next section she has one less option to put on the next section. Then multiply... Like this:

5 * 4 * 3 * 2 * 1
Or 5!

5! = 120

The number of the different arrangements of the pictures that she can make will be 120.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The factor of n is given as the production of the number n, (n - 1), (n - 2)... and 1. Then the factorial of n is given as

n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1

Helena has five pictures to hang on her wall, from left to right.

Then the number of the different arrangements of the pictures that she can make will be

⇒ 5!

Simplify the expression, then we have

⇒ 5 x 4 x 3 x 2 x 1

⇒ 120

The number of the different arrangements of the pictures that she can make will be 120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

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