Answer: 10C5.
- A 10C4
- B 10C3
- C 10C6
- D 10C5
Correct answer: D. 10C5
Explanation: For even n, greatest coefficient is nC(n/2). Here n=10, greatest coefficient = 10C5 = 252.
Row n of Pascal's triangle gives the coefficients nC0, nC1, ..., nCn for the expansion of (a+b)ⁿ; each number is the sum of the two numbers diagonally above it, a direct visual proof of the identity nCr = (n-1)C(r-1) + (n-1)Cr.
Concept context
Expansion of (a+b) n , general term, middle term, binomial coefficients, and greatest term