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The coefficient of x^(50) in the expansi...

The coefficient of `x^(50)` in the expansion `sum_(k=0)^(100)""^(100)C_(k)( x-2)^(100-k)3^(k)` is also equal to :

A

Number of ways in which 50 identical books can be distributed in 100 students, if each student can get atmost one book.

B

Number of ways in which 100 different white balls and 50 identical red balls can be arranged in a circle, if no two red balls are together.

C

Number of dissimilar terms in `(x_(1)+x_(2)+x_(3)+….+x_(50))^(51)`.

D

`(2*6*10*14……198)/(50!)`

Text Solution

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The correct Answer is:
A, D
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