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The number of ways in which 2n identical...

The number of ways in which 2n identical white and 2n identical black balls can be arranged such that no consecutive n white balls are together is

A

`""^(4n)C_(2n)+ ""^(2n+1)C_(2)`

B

`""^(4n)C_(2n) -""^(2n+1)C_(1) ""^(3n)C_(n) + ""^(2n+1)C_(2)`

C

`""^(4n)C_(2n)-^(3n)C_(n)+""^(2n+1)C_(2)`

D

`""^(4n)C_(2n)+""^(2n+1)C_(1)""^(3n)C_(n)+""^(2n+1)C_(2)`

Text Solution

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The correct Answer is:
B
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