Sunday, December 14, 2008

Properties binomial coefficients

(i) the sum of binomial coefficients in the expansion of (1+x)n is 2n

(ii) the sum of odd binomial coefficients in the expansion of (1+x)n is equal to the sum of the coefficients of even terms and each is equal to 2n-1.

iii) In the expansion of (1+x)n the coefficients of terms equidistant from the beginning and the end are equal.

(iv) C0 – C1 +C2-C3 +C4-…+(-1) nCn = 0

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