Question

A certain car dealership allows you to customize your car online before buying it. The online customization allows for the options of a moon roof, custom paint, custom rims, power windows, and custom speakers. The deal you got allows for three of these options. In how many different ways can you customize your car?

A.
3
B.
5
C.
10
D.
60

Answer 1

Option C (10).

Explanation:

In this particular question, there are a total of 5 options available, out of which any customer can avail only 3. The important difference between permutations and combinations is the order of selection. The question does not state any selection in order. This means combinations will be used. Therefore:

Number of ways the car can be customized = 5C3 = (5 * 4 * 3)/(3 * 2 * 1) = 60/6 = 10.

Therefore, Option C is the correct answer!!!