Question bank/JEE Main/Mathematics
JEE MainMathematicsModerateBinomial Theorem
The coefficient of t^4 in the expansion of
is
Show answer and solution
coefficient of t^4 in (1 - t^6)^3 (1 - t)^-3
= coefficient of t^4 in (1 - 3t^6 + 3t^12 - t^18) (1 - t)^-3
= 1 × ^3 + 4-1^C_4 = ^6C_4 = 15
= coefficient of t^4 in (1 - 3t^6 + 3t^12 - t^18) (1 - t)^-3
= 1 × ^3 + 4-1^C_4 = ^6C_4 = 15
Source: Grass-G / M-22 Mathematics Paper 19 Dec Eng.docx
Need a video for this idea?
Scan any doubt from your notes and get a whiteboard explanation.