Question

A pizza restaurant allows you to choose any 2 of 7 toppings. How many

different ways are there to choose the toppings?​

Answer 1

Answer: 21 different ways of choosing the toppings

Explanation:

Answer 2

21

Explanation:

You have 7 options for two toppings, to find the numer of combinatios you need to do the following:

`(7*6)/(2) =(42)/(2) =21`

this is because you have 7 toppings, so for the first one you are going to choose you have all the 7 options available, then for the second one, since you already picked one, you have 6 options left. This is why you multiply 7*6 =42

and finally divide by 2 to eliminate the duplicates. For example in the 42 options you have both pepperoni with ham, and ham with pepperoni, this are really the same combination just in a different order, so you must divide by two.

The answer is 21 combinations