Answer: 16.
- A 8
- B 12
- C 16
- D 24
Correct answer: C. 16
Explanation: Sum of binomial coefficients = 2<sup>n</sup> = 2<sup>4</sup> = 16.
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