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Kenneth Rosen Edition 7 Exercise 6.4 Question 6 (Page No. 421)

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The binomial coefficient C(11,7). This is the same as C(11,4) since 4=11-7, and the latter is easier to compute:

(11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) = 11 * 10 * 3 = 330.

By the way, the complete expansion is

(1+x)^11 = x^11 + 11*x^10 + 55*x^9 + 165*x^8 + 330*x^7 + 462*x^6 + 462*x^5 + 330*x^4 + 165*x^3 + 55*x^2 + 11*x + 1.

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