Question

during a lunch seminar, chocolate, caramel and strawberry topping were available how many 2 topping sundaes are possible?

Answer 1

Answer:

There are 3 two topping sundaes possible.

Step-by-step explanation:

The order in which the toppings are chosen is not important. For example, chocolate and caramel topping is the same as a caramel and chocolate topping. So we use the combinations formula to solve this question.

Combinations Formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many 2 topping sundaes are possible?

2 toppings from a set of 3(chocolate, caramel and strawberry). So

$C_{3,2} = \frac{3!}{2!(3-2)!} = 3$

There are 3 two topping sundaes possible.