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.
Explanation:
The general formula to find the number of ways is,
[tex]^nC_r=\frac{n!}{(n-r)!\times r!}[/tex]On plugging the given values in the above equation,
[tex]\begin{gathered} \frac{n!}{(n-r)!\times r!}=\frac{13!}{(13-5)!\times5!} \\ =\frac{13!}{8!\times5!} \\ =\frac{13\times12\times11\times10\times9\times8!}{8!\times5\times4\times3\times2\times1} \\ =1287 \end{gathered}[/tex]Hence, the number of ways in seleting the 5 photographs is 1287 ways.
