In a group of 8 girls, two girls are sisters.  The number of ways in which the girls can sit in a row so that two sisters are not sitting together is

In a group of 8 girls, two girls are sisters.  The number of ways in which the girls can sit in a row so that two sisters are not sitting together is

  1. A

    4820 

  2. B

    1410

  3. C

    2830 

  4. D

    30240

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    Solution:

    The required number of ways 

    = the number of ways in which 8 girls can sit in a row – the number of ways in which two sisters sit together

    =8!(2)(7!)=30240.

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