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Properties of binomial coefficients

Sequences, series and the binomial theorem · Mathematics

Study notes

Q: Using properties, evaluate (a) C(10,8) (b) row-5 sum (c) C(7,3) + C(7,4). (a) C(10,8) = C(10,2) = 45 (symmetry). (b) Sum of row 5 = 2^5 = 32. (c) C(7,3) + C(7,4) = C(8,4) = 70 (Pascal's identity).

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