Question

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

Answer 1

There are 3 two topping sundaes possible.

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) = (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) = (3!)/(2!(3-2)!) = 3`

There are 3 two topping sundaes possible.