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Third and fourth binomial coefficients. (English) Zbl 1227.05030
Summary: While formulas for the sums of $$k$$th binomial coefficients can be shown inductively or algebraically, these proofs give little insight into the combinatorics involved. We prove formulas for the sums of 3rd and 4th binomial coefficients via purely combinatorial arguments.

MSC:
 05A10 Factorials, binomial coefficients, combinatorial functions
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