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10 cards from this deck
A triangle where each number is the sum of the two above.
It expands powers of sums using coefficients.
Begin with a single '1' at the top.
The total is 2n2^n2n.
It's written as inom{n}{r} in expansions.
It expands to a2+2ab+b2a^2 + 2ab + b^2a2+2ab+b2.
(a+b)n=∑k=0n(nk)an−kbk(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k(a+b)n=∑k=0n(kn)an−kbk.
It finds specific coefficients in expansions.
Use inom{5}{3} = 10 for the term.
It's useful in combinatorial maths and probability.
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