Chapter 13.9, Problem 24PPS

To determine

To Find: No of ways can $3$ different movies be picked.

Answer to Problem 24PPS

The number of ways are $3-2-1$ for selecting the three movies.

Explanation of Solution

Given information:

No of movies $=15$

Calculation:

For calculating the no of combination as below:

The number of combinations,

  $=\frac{Thenumberofpermutations}{Thenumberofways}$

As the total number of movies $15$ .

There are $15$ choices for selecting the first movie.

  $14$ choices for selecting the second movie.

  $13$ choices for selecting the third movie.

So, the number of permutation is,

  $\begin{array}{l}P\left(15,3\right)=15\times 14\times 13\\ =2730\end{array}$