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Question

Mean of numbers  50C01, 50C23, 50C45,, 50C5051 is


Correct Answer
A
249663
Your Answer
B
250663
Your Answer
C
24951
Your Answer
D
24954

Solution

The correct option is A 249663
From the expansion of binomial
(1+x)50=C0+C1x+C2x2+C3x3++C50x50
integrating both sides w.r.t x from the limits 1 to 1, we get
[(1+x)5151]11=[C0x+C1x22+C2x33++C50x5151]11
Now applying the limits, we get
25151=2[C0+C23+C45++C5051]
 Mean= sum of numbers total numbers=25051×26=249663

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