### Home > INT3 > Chapter 10 > Lesson 10.1.3 > Problem10-46

10-46.

Your midterm exam contains $12$ questions and you must answer any ten.

1. How many different combinations of ten questions are possible?

$_{12}C_{10}=66$

2. If everyone must answer questions one, two, and three, how many different combinations of ten questions are possible?

$_{9}C_{7}=36$