Solve the problem.
-John's Ice Cream Parlor has 12 different flavors. Willie orders a banana split and has to select 4 different flavors. How many different selections are possible?
A)11,880
B)495
C)8
D)19,958,400

Question

Quizplus · Accepted Answer

In this problem, we are selecting 4 different flavors out of 12 different flavors, which means we are choosing a combination of 4 flavors from a set of 12. We can use the formula for combinations to solve this problem:

nCr = n!/r!(n-r)!

where n is the total number of items in the set (12 flavors), r is the number we are selecting (4 flavors), and ! represents factorial (the product of all positive integers up to that number).

Plugging in the numbers, we get:

12C4 = 12!/4!(12-4)! = (12x11x10x9)/(4x3x2x1) = 495

Therefore, there are 495 different selections possible for Willie's banana split. Option B is the correct choice. This is a combination problem because the order of the flavors in the banana split does not matter. Using the combination formula, we get:
12 choose 4 = (12!)/(4!(12-4)!) = 495

Solve the Problem. -John's Ice Cream Parlor Has 12 Different Flavors. Willie Orders