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1 solution
Using the polynomial theorem we get that : ( 1 + x ) 2 5 = 1 ⋅ 2 5 C 0 + x ⋅ 2 5 C 1 + x 2 ⋅ 2 5 C 2 + … + x 2 5 ⋅ 2 5 C 2 5 and putting x = 1 ( 1 + 1 ) 2 5 = 2 5 C 0 + 2 5 C 1 + 2 5 C 2 + … + 2 5 C 2 5 = 2 2 5 = 3 3 5 5 4 4 3 2