Pascal's Triangle is a triangle in which each row has one more entry than
the preceding row, each row begins and ends with "1," and the interior elements
are found by adding the adjacent elements in the preceding row. The triangle is
symmetrical.

Figure %: Pascal's Triangle

We can find any element of any row using the *combination function.* The
*r*
^{th}
element
of Row
*n*
is given by:

For example, the 3C(n,r- 1) =

*Examples*

- What is the 5
^{th}entry in the Row 7 of Pascal's Triangle?

*C*(7, 4) = = 35 .

- What is the 6
^{th}entry in Row 5 of Pascal's Triangle?

*C*(5, 5) = = 1

- What is the 9
^{th}entry in Row 20 of Pascal's Triangle?

*C*(20, 8) = = 125970 - What is the 2
^{nd}entry in Row 103 of Pascal's Triangle?

*C*(103, 1) = = 103