Answer:
490
Explanation:
The number of ways or combinations to select x objects from a group of n is equal to
[tex]\text{nCx}=\frac{n!}{x!(n-x)!}[/tex]
A person has 8 options for movies and he is going to select 4, the number of combinations for movies is
[tex]8C4=\frac{8!}{4!(8-4)!}=70[/tex]
In the same way, the person has 7 options for books and he is going to select 6, so
[tex]7C6=\frac{7!}{6!(7-6)!}=7[/tex]
Then, the total number of combinations for 4 movies and 6 books is calculated as:
70 x 7 = 490 possible combinations
Therefore, the answer is 490 possible combinations
