JEE Main 2016 — Binomial Theorem Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
If the coefficients of x−2 and x−4 in the expansion of are m and n respectively, then is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A182
Step-by-step explanation
Tr+1 = 18Cr .
= 18Cr
For coefficient of x2,
= 2
r = 12
Coefficient of x2 is (m) = 18C12
For coefficient of x4,
= 4
r = 15
Coefficient of x4 is (n) = 18C15 15
=
= 182
= 18Cr
For coefficient of x2,
= 2
r = 12
Coefficient of x2 is (m) = 18C12
For coefficient of x4,
= 4
r = 15
Coefficient of x4 is (n) = 18C15 15
=
= 182
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