Question

you are ordering a sandwich for lunch. if the sandwich shop boasts that they have 25 different toppings for their sandwiches, and you can choose up to five for no extra cost, how many combinations of toppings can you get on your sandwich without having to pay more? a. 53,130 b. 6,375,600 c. 25 d. 120

Answer 1

D

Explanation:

It's given that you choose 5 toppings.

For the first topping, there are 5 choices.

For the second topping, there are 4 choices, because you've already chosen one as your first topping.

By the same logic, for the third topping there are 3 choices, for the fourth topping there are 2 choices and for the last topping there's only one choice left.

We'll find the number of possible combinations by finding the product of the possibilities. That's
`5*4*3*2*1=120` combinations.

So the answer is D.