Mathematics · Combinatorics
Using Pascal's identity recursively, C(2n + 2, n + 1) is equal to which of the following expressions?
- 1C(2n, n + 1) + C(2n, n) + C(2n, n - 1)
- 2C(2n, n + 1) + 2C(2n, n) + C(2n, n - 1)✓
- 3C(2n + 1, n + 1) + 2C(2n + 1, n) + C(2n + 1, n - 1)
- 4C(2n + 2, n + 1) + 2C(2n + 2, n) + C(2n + 2, n - 1)
Correct answer
C(2n, n + 1) + 2C(2n, n) + C(2n, n - 1)
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