Answered

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Ben is studying photography, and he was asked to submit 6 photographs from his collection to exhibit at the fair. He has 15 photographs that he thinks are show worthy. In how many ways can the photographs be chosen

Sagot :

Using the combination formula, it is found that the photographs can be chosen in 5005 ways.

The order in which the photographs are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 6 photographs are chosen from a set of 15, hence:

[tex]C_{15,6} = \frac{15!}{6!9!} = 5005[/tex]

The photographs can be chosen in 5005 ways.

A similar problem is given at https://brainly.com/question/25648218

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