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

Answer:

48.

Step-by-step explanation:

you multiply 16 x 3 to get your final answer.

Answer 2

Answer: 560

Step-by-step explanation:

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

$^nC_x=\dfrac{n!}{x!(n-x)!}$

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

$^{16}C_3=\dfrac{16!}{3!(16-3)!}\\\\=\dfrac{16\times15\times14\times13!}{3!13!}=560$

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