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Juan Set 1 Paper 1 · Q9

Paper 1Number & counting

Let nn be a positive integer. In the expansion of

(x2+x)n(x^2+x)^n

the coefficient of the term with x19−nx^{19-n} and the coefficient of the term with x16−nx^{16-n} are both equal to the positive integer kk.

What is kk?

A6
B12
C15
D18
E21

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