Answer:
There are 21 ways to select the two movies to watch.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
It is provided that there are n = 7 movies to watch.
But we only have time for k = 2.
Compute the total number of ways in which we can select 2 movies from 7 as follows:
[tex]{7\choose 2}=\frac{7!}{2!(7-2)!}[/tex]
[tex]=\frac{7!}{2!\times 5!}\\\\=\frac{7\times 6\times 5!}{2!\times 5!}\\\\=\frac{7\times6}{2\times 1}\\\\=21[/tex]
Thus, there are 21 ways to select the two movies to watch.
