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:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many 2 topping sundaes are possible?
2 toppings from a set of 3(chocolate, caramel and strawberry). So
[tex]C_{3,2} = \frac{3!}{2!(3-2)!} = 3[/tex]
There are 3 two topping sundaes possible.
