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Alyssa's favorite bowling team has 10 players on them. She has taken a picture with every single athlete individually and wants to post some of the pictures on her wall. But she only wants to post 4 pictures on her wall. How many different sets of pictures can she post on her wall

Respuesta :

There are 84 sets of pictures she can post on her wall.

Since Alyssa has taken a picture with every single athlete individually. It means she has taken 9 pictures.

Now she wants to post 3 pictures on her wall.

We need to use Combination for arranging pictures. A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, we can select the items in any order.

Therefore, The number of different sets of pictures = Selecting 3 pictures from a set of 9 pictures

9C3  =  (9!)/((9-3)!*3!)

(9*8*7)(3*2*1)= 84 ways

To know more about Combinations visit:

https://brainly.com/question/4658834

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