Question

You are ordering a burrito with two main ingredients and three toppings. The menu below shows the possible choices. How many different burritos are possible?

(the number of combinations)

Answer 1

840

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

In the menu, there are 6 main ingredients and we take 2 at the same time, so the possible outcomes is:

`C^(6) _(2)` =
`(6!)/((6-2)!*2!)` = 15

In the menu, there are 8 toppings and we take 3 at the same time, so the possible outcomes is:

`C^(8) _(3)` =
`(8!)/((8-3)!*3!)` = 56

=> the total number of combinations :

=
`C^(6) _(2)`*
`C^(8) _(3)`

=15 * 56 = 840