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- The coefficient of t24 in (1 + t2)12 (1 + t12) (1 + t24) is:Option: 1 12C
- #Class 11
- #Engineering
- #Binomial theorem and its simple applications
- #Joint Entrance Examination Main
- #Maths
The coefficient of t24 in (1 + t2)12 (1 + t12) (1 + t24) is:
Option: 1
12C6 + 3
Option: 2
12C6 + 1
Option: 3
12C6
Option: 4
12C6 + 2
Answers (1)
(1 + t2)12 (1 + t12) (1 + t24)
Coefficient of t24
= 1 × coefficient of t24 in (1 + t2)12 + 1 × coefficient of t12 in (1 + t2)12 + 1 × constant term in (1 + t2)12
= 12C12 + 12C6 + 12C0 = 1 + 12C6 + 1 = 12C6 + 2
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