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Find n if the coefficients of the 3rd te...

Find n if the coefficients of the 3rd term from the end in the expansion of `(2+x)^n` is 45.

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B= (5/2+x/2)^n , A= (1 + 3x)^m Sum of coefficients of expansion of B is 6561 . The difference of the coefficient of third to the second term in the expansion of A is equal to 117 . If n^(m) is divided by 7 , the remainder is