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Binomial Coefficients - Positive Integer

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Show that if n is a positive integer, then [see the attached file for the equation)
a) using a combinatorial argument.
b) by algebraic manipulation.

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Solution Summary

Using combinatorial argument and then by algebraic manipulation, prove a combinatorial identity.

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Please see the attached file.

a)Suppose we have a group of 2n students and we want to make a group of 2.
The total number of groups we could make is
Now we split ...

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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