Question

PLEASE HELP IM SO BEHIND!! I"LL GIVE BRAINLEST

A movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs. How many 5-disc combinations can be made from the collection? (Hint: Divide the total combinations by 5.)




5,184 combinations


6,480 combinations


12.960 combinations


8,640 combinations

Answer 1

Using the combination formula, it is found that 749,398 5-disc combinations can be made from the collection.

The disks are chosen without replacement, hence the combination formula is used to solve this question.

What is the combination formula?

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 5 disks are taken from a set of 6 + 10 + 4 + 9 + 12 = 41 disks, hence:

$C_{41,5} = \frac{41!}{5!36!} = 749398$

749,398 5-disc combinations can be made from the collection.

You can learn more about the combination formula at https://brainly.com/question/25821700