Answer: 5¹⁰.
- A 5¹⁰
- B 6¹⁰
- C 1
- D 0
Correct answer: A. 5¹⁰
Explanation: Setting x = y = 1 gives (2 + 3)¹⁰ = 5¹⁰.
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