Question: Let n and r be integers with 1 r < n. Show that C(n, r 1) = C(n + 2, r + 1)

Let n and r be integers with 1 ≤ r < n. Show that
C(n, r − 1) = C(n + 2, r + 1)
−2C(n + 1, r + 1) + C(n, r + 1).

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