35. Prove the combinatorial identity n 1 i 1 = n i...
Question:
35. Prove the combinatorial identity
n − 1 i − 1
=
n i
−
n i + 1
+···±
n n
, i n
(a) by induction on i
(b) by a backwards induction argument on i—that is, prove it first for i = n, then assume it for i = k and show that this implies that it is true for i = k − 1.
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