Question

ben is studying photography and he was asked to submit 5 photographs from his collection to exhibit at the fair. he has 13 photographs that he thinks are show worthy. in how many ways can the photographs be chosen?

Answer 1

Given:

The total number of photographs is, n = 13.

The number of photographs to be submitted is, r = 5.

The objective is to find the number of ways of choosing the photograph.

Step-by-step explanation:

The general formula to find the number of ways is,

`^nC_r=(n!)/((n-r)!* r!)`

On plugging the given values in the above equation,

`\begin{gathered} (n!)/((n-r)!* r!)=(13!)/((13-5)!*5!) \\ =(13!)/(8!*5!) \\ =(13*12*11*10*9*8!)/(8!*5*4*3*2*1) \\ =1287 \end{gathered}`

Hence, the number of ways in seleting the 5 photographs is 1287 ways.