###### UGC NET Dec-2020 and June-2021 Paper-2

October 9, 2023###### Flip-flops

October 9, 2023# Nielit Scientist-B 17-12-2017

Question 14 |

**In how many ways 8 girl and 8 boys can sit around a circular table so that no two boys sit together?**

(7!) ^{2} | |

(8!) ^{2} | |

7!8! | |

15! |

Question 14 Explanation:

→ First fix one boy and place other 7 in alternative seats so total ways is 7! Because they are seated in circular table. (n-1)!.

→ Now place each girl between a pair of boys. So, total ways of seating arrangement of girls is 8!

→ Finally, 7!8! Possible ways are possible.

→ Now place each girl between a pair of boys. So, total ways of seating arrangement of girls is 8!

→ Finally, 7!8! Possible ways are possible.

Correct Answer: C

Question 14 Explanation:

→ First fix one boy and place other 7 in alternative seats so total ways is 7! Because they are seated in circular table. (n-1)!.

→ Now place each girl between a pair of boys. So, total ways of seating arrangement of girls is 8!

→ Finally, 7!8! Possible ways are possible.

→ Now place each girl between a pair of boys. So, total ways of seating arrangement of girls is 8!

→ Finally, 7!8! Possible ways are possible.

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