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Relation between Coefficient and Indices of x and y

In the binomi...

Question

In the binomial exp. $(1 + x + x^{2} + . . . + x^{27}) (1 + x + x^{2} + . . . + x^{14})^{2}$ , the coefficient of $x^{28}$

220

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222

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224

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226

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Solution

The correct option is C $224$
correct answer is C that is 224

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