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Find the number of ways in which 5 girls...

Find the number of ways in which 5 girls and 5 boys can be arranged a n row if boys and girls are alternative.

Text Solution

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First five girls can be arranged in 5! Ways.
i.e., `XGXGXGXGXG` or `GXGXGXGXGX`
Now, if girls annd boys are alternate, then boys can occupy places with 'X' as shows above.
Hence, total number of arrangements is
`5!xx5!+5!xx5!=2xx(5!)^(2)`.
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