First slide

Binomial theorem for positive integral Index

Question

$T h e c o e f f i c e i n t o f t^{24} i n t h e e x p a n s i o n o f {(1 + t^{2})}^{12} (1 + t^{12}) (1 + t^{24}) i s$

Moderate

A

$C (12, 6) + 2$
B

$C (12, 6)$
C

$C (12, 6) + 1$
D

$C (12, 7)$

Solution

$T h e g i v e n b i n o m i a l e x p a n s i o n i s {(1 + t^{2})}^{12} (1 + t^{12}) (1 + t^{24}) T h e c o e f f i c i e n t o f t^{24} i s C (12, 6) + C (12, 0) + C (12, 12) = C (12, 6) + 2$

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