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10 cards from this deck
Algebraic expression with two terms
n+1n+1n+1 terms
Sum of two numbers directly above it
Ways to choose rrr objects from nnn objects
n!r!(nโr)!\frac{n!}{r!(n-r)!}r!(nโr)!n!โ
5ร4ร3ร2ร1=1205 \times 4 \times 3 \times 2 \times 1 = 1205ร4ร3ร2ร1=120
โk=0n(nk)(ax)nโkbk\sum_{k=0}^{n} \binom{n}{k}(ax)^{n-k}b^kโk=0nโ(knโ)(ax)nโkbk
(nr)(ax)nโrbr\binom{n}{r}(ax)^{n-r}b^r(rnโ)(ax)nโrbr
Decreasing powers of xxx
r=7r=7r=7 (use r+1r+1r+1 for term position)
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