Question

An ice cream store sells ice cream and sorbet. The ice cream is either chocolate or vanilla and can have 3 toppings (candy, sprinkles, and whip cream) which can be used in any combination. The sorbets come in either orange, lime, strawberry, or raspberry, with either whip cream or fresh fruit for a topping. How many combinations does the ice cream store sell?

A. 18 combinations for ice cream and 10 combinations for sorbet, totaling 28 combinations.
B. 6 combinations for ice cream and 8 combinations for sorbet, totaling 14 combinations.
C. 6 combinations for ice cream and 18 combinations for sorbet, totaling 24 combinations.
D. 18 combinations for ice cream and 8 combinations for sorbet, totaling 26 combinations.

Answer 1

The ice cream store sells a total of 14 combinations of ice cream '6' and sorbet '8' with various toppings.

Therefore, the correct answer is: option B). 6 combinations for ice cream and 8 combinations for sorbet, totaling 14 combinations.

Step-by-step explanation:

The ice cream store sells chocolate and vanilla ice cream with 3 toppings: candy, sprinkles, and whip cream.

There are 2 flavors of sorbet: orange, lime, strawberry, and raspberry, with either whip cream or fresh fruit as toppings.

To find the total number of combinations, we need to multiply the number of choices for each component.

For ice cream, there are 2 flavors and 3 topping choices, so the total number of ice cream combinations is :

=> 2 x 3 = 6.

For sorbet, there are 4 flavor choices and 2 topping choices, so the total number of sorbet combinations is :

=> 4 x 2 = 8.

Therefore, the ice cream store sells a total of 6 + 8 = 14 combinations.