Food Probability Question

Question

How many possible outcomes are possible if you choose from 6 ice cream flavors, 3 different sizes of scoops, 2 toppings, and a waffle cone or a cup?

A- 36

B- 24

C- 18

D- 72

Answer 1

It's a combinatorial question.

You can create (combine) an ice-cream from 6 ice-cream flavors, using 3 sizes of scoops, with 2 toppings, and serving in a waffle cone or a cup (2 kind of containers) in

6 * 3 * 2 * 2 = 72 ways. Just multiplication of the quantities, because all the selections (flavors, sizes, toppings, containers) are independent of one another.

Correct answer is D (72)

Answer 2

Basically it's just combinations that you're doing. So for example if I have 1 red shirt 1 green shirt and 1 black shirt, and 1 pair of blue pants, and 1 pair of yellow pants we would have 6 different options you can do. Because red shirt goes to blue pants(1 set) than goes to yellow(2), than green shirt goes to blue pants(3) and than goes to yellow(4), black shirt goes to to blue pants(5) and than black shirt to yellow(6) but an easier and more efficient way is to multiply everything so 6 x 3 x 2 x2 = 72 different options because you just multiply everything,