Question

You are at a restaurant that has 10 desserts on their menu. How many different ways can you order three desserts for your table

Answer 1

You can order 120 different ways. This can be calculated by using the combination formula, which is:

nCr = n! / r! * (n-r)!

In this case, n = 10 (number of desserts on the menu) and r = 3 (number of desserts you want to order). So, the calculation would be:

10! / 3! * (10-3)!
= 10! / 3! * 7!
= 10 * 9 * 8 / 3 * 2 * 1
= 720 / 6
= 120

Therefore, there are 120 different ways you can order three desserts from the menu.