There are 6 ways can u get 5 apples without looking.

## You are not going to choose any oranges.

## Apples are numbered 1 to 6.

## When you choose 5 of them, you will not be choosing one of them: apple 1,2,3,4,5, or 6.

## There are 6 apples. So there are 6 C 5 = (6!)/(5!(6-5)!) = 6 ways to select 5 apples (from 6).

**Combination Formula**

A formula for the number of possible combinations of r objects from a set of n objects. This is written in any of the ways shown below.

All forms are read aloud "n choose r."

**Example:**

*How many different committees of 4 students can be chosen from a group of 15?*

**Answer:**