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Pre-Cal 40S May 12, 2009
1. Poker
Combinatorics
or
How likely
is THAT?!?
Red Hot Poker by flickr user kimberlyfaye
2. The Binomial Theorem ...
Algebraically
Combinatorically
Notice the patterns ...
(1) The coefficient of the term is:
(2) The exponent on a is given by: [n - (i - 1)]
(3) The exponent on b is given by: i - 1
(4) This relation holds for each term in the expansion:
[exponent on a] + [exponent on b] = n
(5) The number of terms in any binomial expansion is: n + 1