Question

Mrs. Brown is giving a reward to the winner of a game in math class. She has 4 types of candy bars and is allowing the winner to choose 2. How many possible combinations can they choose?

Answer 1

Step-by-step explanation:

To find the total number of possible combinations, we need to use the combination formula. Since the order of the candy bars doesn't matter, we can use the formula for combinations, which is:

n C r = n! / (r! * (n-r)!)

where n is the total number of candy bars, and r is the number of candy bars we want to choose.

In this case, n = 4 (since there are 4 types of candy bars), and r = 2 (since the winner is choosing 2 candy bars).

So we have:

4 C 2 = 4! / (2! * (4-2)!)

= 4! / (2! * 2!)

= (4 * 3 * 2 * 1) / (2 * 1 * 2 * 1)

= 6

Therefore, there are 6 possible combinations of 2 candy bars that the winner can choose.