1. Tardigrade
  2. Question
  3. Mathematics
  4. In how many ways can 5 boys and 5 girls be seated at a round table so that no two girls may be together ?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In how many ways can $5$ boys and $5$ girls be seated at a round table so that no two girls may be together ?

BITSATBITSAT 2013

Solution:

Leaving one seat vacant between two boys, $5$ boys may be seated in $4 !$ ways. Then at remaining $5$ seats, $5$ girls any sit in $5 !$ ways.
Hence the required number $=4 ! \times 5 !$