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Two ways (Posted on 2013-10-31) Difficulty: 3 of 5
Show that if N is a positive integer, then C(2N,2)= 2*C(N,2)+ N^2

(a) using a combinatorial argument.
(b) by algebraic manipulation.

  Submitted by Ady TZIDON    
Rating: 3.6667 (3 votes)
Solution: (Hide)
1.Consider n girls and n boys trying to nominate 2 representative, disregarding their genders.
2.See either Jer's or MM's explanation.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionWaysMath Man2013-11-01 19:35:32
SolutionSolutionJer2013-11-01 08:18:40
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