Mathematics · Permutations and Combinations
If n ≥ 2 is a positive integer, then the sum of the series n+1C2 + 2(2C2 + 3C2 + 4C2 + … + nC2) is:
- 1n(2n + 1)(3n + 1) / 6
- 2n(n + 1)(2n + 1) / 6✓
- 3n(n - 1)(2n + 1) / 6
- 4n(n + 1)2(n + 2) / 12
Correct answer
n(n + 1)(2n + 1) / 6
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