## Quick Reference

A triangle of numbers in which the *r*th item on the *n*th row is the value of ^{n−1}*C** _{r−1}*, the number of different combinations of (

*r*−1) objects chosen from (

*n*−1). The sum of the numbers on the

*n*th row is 2

*. Thus*

^{n−1}^{6−1}

*C*

_{4−1}=

^{5}

*C*

_{3}=10. Apart from the 1 at the beginning and end of each row, each number is the sum of the two nearest numbers in the row above. For example 10=4+6.

The relevance of the numbers in the context of probability was noted by Pascal and the description ‘Pascal's triangle’ was first used in a book on probability by Montmort.

*Subjects:*
Probability and Statistics.

## Related content in Oxford Index

##### Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.