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In how many ways can 2 boys and 3 girls ...

In how many ways can 2 boys and 3 girls sit in a row so that no two girls sit side by side?

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Two boys and 3 girls sit in a row so that no two girls sit side by side.
So only possibility is boys should be seated in between the two girls. In between 3 girls there are 2 gaps where 2 boys will be seated. The girls will be arranged in "3! "and boys is "2!" ways.
`:."The number of ways" =2!xx3!=2xx6=12`
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