An ice cream parlor sells 10 flavors. If you'd like a bowl with three scoops, each a different flavor, how many choices do you have?
A)720
B)120
C)60
D)30

Question

Quizplus · Accepted Answer

This is a combination problem where order does not matter, and you can calculate the number of combinations using the formula for combinations: nCr = n! / [r!(n - r)!], where n is the total number of items, and r is the number of items to choose. Here, n=10 (flavors) and r=3 (scoops), so the calculation is 10! / [3!(10 - 3)!] = 10! / (3!7!) = (10 x 9 x 8) / (3 x 2 x 1) = 720 / 6 = 120.

An Ice Cream Parlor Sells 10 Flavors