There are n white and n black balls marked 1,2,3,………..n. The number of ways in which we can arrange theseballs in a row so that neighbouring balls are of different colours are:

There are n white and n black balls marked 1,2,3,………..n. The num

1.	There are n white and n black balls marked 1,2,3,………..n. The number of ways in which we can arrange theseballs in a row so that neighbouring balls are of different colours are:
Answer» `N!` `(2N)!` `2(n!)^(2)` `((2n)!)/((n!)^(2))` Solution :CASE I: `(W_(1))/1(B_(1))/2 (W_(2))/3 (B_(2))/4 (W_(3))/5 (B_(3))/6…………W_(n)(B_(n))/(2n^(th)"place")=n!xx!` CaseII `(B_(1))/1 (W_(1))/2(B_(2))/3(W_(2))/4(B_(3))/5 (W_(3))/6……….B_(n)(W_(n))/(2n^(th)"place")=n!xxn!` Son number of ways `=2(n!)^(2)`

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There are n white and n black balls marked 1,2,3,………..n. The number of ways in which we can arrange theseballs in a row so that neighbouring balls are of different colours are:

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