Alyssa's favorite tennis team has 8 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 3 pictures on her wall. How many different sets of pictures can she post on her wall

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11-07-2022
Mathematics

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Alyssa's favorite tennis team has 8 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 3 pictures on her wall. How many different sets of pictures can she post on her wall

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aroranishant799 aroranishant799 · Answer 1 · 2022-07-19T18:07:48+02:00

56 sets of pictures she can post on her wall

It is given that alyssa's favorite tennis team has 8 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 3 pictures on her wall.

For this we hve to use factorials. In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. The factorial of n also equals the product of n with the next smaller factorial: For example, The value of 0! is 1, according to the convention for an empty product.

So it will be - [tex]\frac{8!}{3!(8-3)!}[/tex] as this is the formula for combination

This will be 56.

Thus, 56 sets of pictures she can post on her wall