Question

A pizza restaurant allow you to choose any 2 of 8 toppings. How many different ways are there to choose the toppings

Answer 1

Answer:

answer = 8 * 7 / 2 = 28.

Step-by-step explanation:

Answer 2

Answer with Step-by-step explanation:

Number of ways of choosing r items out of n are given by:

$\dfrac{n!}{r!(n-r)!}$

Here, we have to choose any 2 toppings out of 8

i.e. r=2 and n=8

So, number of ways are:

$\dfrac{8!}{2!(8-2)!}$

= $\dfrac{8!}{2!6!}$

= $\dfrac{8\times 7\times 6!}{2!6!}$

= $\dfrac{8\times 7}{2}$

= 4×7

= 28

Hence, Number of ways to choose the toppings are:

28