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If (1 + x + x^2)^25 = a0 + a1x + a2x^2 + ... + a50 x^50 then a0 + a2 + a4 + .... +a50 is

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If  (1 + x + x2)25  = a0 + a1x + a2x2 + ... + a50 x50  then  a0 + a2 + a4 + .... +a50  is

(A)  Even

(B)  Odd and of the form 3n

(C)  Odd and of the form (3n - 1)

(D)  Odd and of the form (3n + 1) 

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Correct option  (A) Even

Explanation:

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