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n n! n-i i
(1 - t) B (t)= (1-t) ──────── (1-t) t
i (n-i)!i!
n+1-i (n+1)! n+1-i i
= ───── ────────── (1-t) t
n+1 (n+1-i)!i!
k-i k! k-i i
= ─── ──────── (1-t) t , where k = n + 1
k (k-i)!i!
k-i k
= ─── B (t)
k i