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A : the number of ways in which 5 b...

A : the number of ways in which 5 boys and 3 girls can sit in a row so that two girls come together is ` 5 ! ""^(6) P_(5)`
R : the number of ways of ways in which m ( first type of different ) things and n ( second type of different ) things `( m + 1 ge n) ` can be arranged in a row so that no two things of second kind come together is m! `""^((m+1)) P_(n)`

A

Both A and R are true and R is the correct explanation of A .

B

Both A and R are true but R is not correct exaplanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The number of ways in which 5 boys and 3 girls can sit in a row so that no two girls come together is

    A
    `5!""^6P_3`
    B
    `7!""^8 P_5`
    C
    `6!""^7 P_3`
    D
    `5!P_6`

  • The number of ways in which 5 boys and 5 girls can be sit in a row so that all the girls sit together is

    A
    86400
    B
    14400
    C
    7200
    D
    12600

  • The number of ways in which 5 boys and 5 girls can be arranged in a row so that no two girls are together is

    A
    `2(5!)^(2)`
    B
    `5!""^(6)P_(5)`
    C
    `5!5!`
    D
    `10!`

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    the number of ways in which 6 boys and 3 girls can sit in around a round table so that all the girls come together is

    The number of ways in which 5 boys and 3 girls can sit in row so that all the girls and all the boys sit together is

    The number of ways in which 5 boys and 5 girls can sit in a row so that the boys and girls sit alternatively is

    The number of ways in which 5 boys and 3 girls can sit around a round table so that all the girls are not come together is

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