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."
Formula: |
 |
|
Note: , where nPr is the formula for permutations of n objects taken r at a time. |
Example: |
How many different committees of 4 students can be chosen from a group of 15?
|
Answer: |
There are possible combinations of 4 students from a set of 15. |
|

There are 1365 different committees. |
See
also
Permutation, binomial
coefficient,
factorial
|