So the relationship between the two is cn r arn r

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: s is either Cn ,r or ȹ ȹ , and is ȹ r Ⱥ € pronounced verbally as “n choose r”. So the relationship between the two is Cn ,r = ar,n − r . So we will switch to the standard notation. € € Definition: For all nonnegative integers, n and r, define Cn ,r by (1) Cn ,r = 1 if r = 0 or n and (2) Cn ,r = Cn −1.r −1 + Cn −1,r for all n > 0. Problem. Using only the definition, use induction to prove the formula € € n! Cn ,r = . € r!( n − r)! Prob...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online