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A bag contains 20 white balls and 20 red...

A bag contains 20 white balls and 20 red balls. (Assume that balls of same colour are distinguishable). Pair of balls are drawn at random without replacement until the bag is empty. The probability that each pair consists of one white and one real red ball is:

A

`(2^(20) xx (20 !)^(2))/(40 !)`

B

`(2^(20) xx 20!)/(40 !)`

C

`(2^(20) xx 20!)/(40 !)^(2)`

D

`(2^(10) xx 20!)/(40 !)`

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The correct Answer is:
A
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