First slide

Binomial theorem for positive integral Index

Question

$T h e s u m o f t h e c o e f f i c i e n t s i n t h e e x p a n s i o n o f {(x + y)}^{n} i s 4096 . T h e g r e a t e s t c o e f f i c i e n t i n t h e e x p a n s i o n i s$

Easy

A

$1024$
B

$924$
C

$824$
D

$724$

Solution

$G i v e n t h a t t h e s u m o f t h e b i n o m i a l c o e f f i c i e n t s o f {(x + y)}^{n} i s 4096 h e n c e, 2^{n} = 4096$
$i t g i v e s n = 12 t h e g r e a t e s t c o e f f i c i e n t i s C (12, 6) = \frac{12!}{6! 6!} = 924$

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