33. Prove the combinatorial identity ;:0-0)-G:.)(:) (a) by induction on / (b) by a backwards induction

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33. Prove the combinatorial identity

;:0-0)-G:.)—(:)· ·»

(a) by induction on /

(b) by a backwards induction argument on /—that is, prove it first for

/ = Ë, then assume it for / = k and show that this implies that it is true for

/ = k - 1.

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