﻿ The coefficient of t50 in (1 + t2)25 (1 + t25) (1 + t40) (1 + t45) (1 + t47)……(1) is   : Kaysons Education

The Coefficient Of t50 in (1 + t2)25 (1 + t25) (1 + t40) (1 + t45) (1 + t47)……(1) Is

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Question

Solution

Correct option is

As we are interested in coefficient of t50, we shall ignore all the term with exponent more than 50. Thus, we can write (1) as

As all the terms in the first expression have even exponent we can ignoret25t45 and t47 too. Thus. Coefficient of t50 in (1)

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