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wu :: forums    riddles    medium (Moderators: SMQ, Icarus, Eigenray, ThudnBlunder, Grimbal, william wu, towr)    binomial coefficients « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: binomial coefficients  (Read 2018 times) Christine Full Member     Posts: 159 binomial coefficients   « on: Sep 26th, 2013, 12:43pm » Quote Modify C(n,k) = n!/(k!(n-k)!)   Is the equality (r-k) * C(r, k) = r * C(r-1, k) always true?   IP Logged pex Uberpuzzler     Gender: Posts: 880 Re: binomial coefficients   « Reply #1 on: Sep 26th, 2013, 12:54pm » Quote Modify on Sep 26th, 2013, 12:43pm, Christine wrote: C(n,k) = n!/(k!(n-k)!)   Is the equality (r-k) * C(r, k) = r * C(r-1, k) always true? Yes: use n! = n * (n-1)! a couple of times. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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