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Some Properties of Binomial Coefficients


The coefficients are called binomial coefficients and we can write them as


i.e: Sum of the binomial coefficients of odd terms = Sum of the binomial coefficients of even terms
                                                                     =

Example 1:
Find the sum of all the binomial coefficients in the expansion of

Solution:


Example 2:
Find the sum of alternate binomial coefficients in

Solution:





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