Question

A yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. If the store has 16 possible toppings, how many different 3-topping combinations can a customers choose?

Answer 1

48.

Explanation:

you multiply 16 x 3 to get your final answer.

Answer 2

Answer: 560

Explanation:

We know that the combination of n things taken x things at a time is given by :-

`^nC_x=(n!)/(x!(n-x)!)`

Now, the number of different 3-topping combinations can a customers choose from 16 combination is given by :-

`^(16)C_3=(16!)/(3!(16-3)!)\\\\=(16*15*14*13!)/(3!13!)=560`

Hence, the number different 3-topping combinations can a customers choose from 16 combination = 560