# How do you evaluate 7C4 using Pascal's triangle?

##### 1 Answer

Feb 18, 2017

#### Answer:

There will be a row in Pascal's triangle that will give a value to every combination

#### Explanation:

Here is an image of Pascal's triangle having rows zero through 16.

Look at row seven. It contains the numbers

1...7...21...35...35...21...7...1

(I used dots as this was the only way I could find to space the terms appropriately.)

The values in this row are equal to

So, *fifth* value in the row, namely 35.

Note that