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

Find the number of ways in which 5 boys and 5 girl be seated in a row so that (i)No two girls may sit together (ii)All the girls sit together (iii)all the boys sit together. (iv)All the girls are never together.

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Number of girls sit together`=.^6C_5*5!*5! =6(5!)^2`
All the girls never sit together`=10!-6(5!)^2`.
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Knowledge Check

  • The number of ways in which 5 boys and 5 girls can sit in a ring are---

    A
    10!
    B
    9!
    C
    5!
    D
    6!
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