There are 6 numbered chairs placed around a circular table. 3 boys and 3 girls want to sit on them such that neither of two boys nor two girls -Maths 9th

There are 6 numbered chairs placed around a circular table. 3 boys and 3 girls want to sit on them such that neither of two boys nor two girls -Maths 9th
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Since the chairs are numbered, so they are distinguishable.  Therefore 3 boys can be arranged on 3 alternate chairs in 3! ways. 3 girls can be arrenged in 3! ways  Also, the girls can be seated before the boys.  Total number of required ways = 3! × 3! + 3! × 3! = 2 × (3!)2
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