Question

You and two friends go to the ice cream parlor. The flavors available are Strawberry, Mexican Vanilla, Rocky Road, Belgian Chocolate, Salted Caramel, and Bratwurst. Assuming each of you orders one different flavor, how many outcomes are possible?

Answer 1

Answer: 120

Step-by-step explanation:

There are 6 flavors given. This is the number of choices you have to pick from. After you choose a flavor, the next person has 6-1 = 5 choices. Then there are 5-1 = 4 choices after that. We have this countdown.

Multiply the values mentioned: 6*5*4 = 30*4 = 120

An alternative is to use the nPr permutation formula with n = 6 and r = 3.

The nPr formula is
`_nP_r = (n!)/((n-r)!)` where the exclamation marks mean factorials.