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Let P = underset(r=1)overset(50)sum(.^(5...

Let `P = underset(r=1)overset(50)sum(.^(50+r)C_(r)(2r-1))/(.^(50)C_(r)(50+r)), Q = underset(r=0)overset(50)sum(.^(50)C_(r))^(2), R = underset(r=0)overset(100)sum(-1)^(r) (.^(100)C_(r))^(2)`
The value of P - R is equal to

A

1

B

-1

C

`2^(50)`

D

`2^(100)`

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Verified by Experts

The correct Answer is:
A
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