You may want to read Pascal's Triangle before doing this worksheet.

- Show that
(
`n``r`) + (`n``r`− 1) = (`n`+ 1`r`) by:- Analogy with Pascal's triangle.
- Definition of the combination operation.

- Expand (
`x`+`y`)^{8}. -
- Visit the web site http://mathlair.allfunandgames.ca/pascal.php and observe the patterns produced by a few different moduli. Comment on the types of patterns obtained.