Question

A 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings dontrelle has enough money for a small or medium basic sundae how many different sundaes could dontrelle order that included only flavor that he likes

Answer 1

The required number of combinations Dontrelle can order is 504.

As mentioned in the question that 21 choices basic sundae comes in three sizes small medium or large and includes one flavor of ice cream and one of 12 toppings Dontrelle has enough money for a small or medium basic sundae.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
Total number of choices of sundaes = 21 small + 21 medium = 42
Total number of toppings = 12
Total ice cream = 1
Total number of combinations = 42 × 12 × 1 = 504

Thus, the required number of combinations Dontrelle can order is 504.

Learn more about permutations and combinations here:

brainly.com/question/2295036

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Answer 2

Answer:

$\frac{2}{sizes}$ * $\frac{18}{flavors}$ *$\frac{12}{toppings}$ = 432 possible sundaes

Step-by-step explanation: