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Question

The value of 404C44C1303C4202C44C3101C4



Your Answer
A

(404)4

Correct Answer
B

(101)4

Your Answer
C

0

Your Answer
D

1


Solution

The correct option is D

(101)4


The given expression is the coefficient of x4 in 

4C0(1+x)404 - 4C1(1+x)303  + 4C2(1+x)2024C3(1+x)1014C4 

i.e.            in [(1+x)1011]4 

i.e.           in (101C1x + 101C2x2 + ........ + 101C101x101)4 = (101)4

  option (b) is correct.   

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