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Find the number of ways to arrange 5 boy...

Find the number of ways to arrange 5 boys and 5 girl in a row such that
no two of the same sex sit together

Text Solution

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The correct Answer is:
`2xxlfloor5xxlfloor5`
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Knowledge Check

  • Let x denote the number of ways of arranging m boys and m girls in a row so that no two boys sit together . If y and z give the number of ways of arranging m boys and m girls in a row and around a circular table respectively so that boys and girls sit alternately , then x:y:z, =

    A
    m+1 : m: m-1
    B
    `3:2:1`
    C
    m-1 : m-2
    D
    (m+1)m : 2m : 1

  • Let x denote the number of ways of arranging m boys and m girls in a row so that no two boys sit together. If y and z give the number of ways of arranging m boys and m girls in a row and around a circular table respectively so that boys and girls sit alternately, then x : y : z=

    A
    `m+1 : m : m-1`
    B
    `3 : 2 : 1`
    C
    `m-1 : m : 2`
    D
    `(m+1)m : 2m : 1`

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