Question

An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different flavors, one topping, and one cone are possible?

144


120


432


360


not enough information

Answer 1

360 combinations

Explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

6 * 5 * 4 * 3 = 360

1st flavor 2nd flavor topping cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible