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
We can find any element of any row using the combination function. The
is given by:
C(n, r - 1) =For example, the 3rd entry in Row 6 ( r = 3 , n = 6 ) is C(6, 3 - 1) = C(6, 2) = = 15 .
- What is the 5th entry in the Row 7 of Pascal's Triangle?
C(7, 4) = = 35 .
- What is the 6th entry in Row 5 of Pascal's Triangle?
C(5, 5) = = 1
- What is the 9th entry in Row 20 of Pascal's Triangle?
C(20, 8) = = 125970
- What is the 2nd entry in Row 103 of Pascal's Triangle?
C(103, 1) = = 103