Home
Class 12
MATHS
The number of ways in which 5 boys a...

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`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (COMBINATIONS )|222 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -1|9 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

Similar Questions

Explore conceptually related problems

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)

The number of ways in which 5 boys and 4 girls can be sit in a row so that all the girls come together

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 5 girls can be arranged in a row so that no two girls are together is

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

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

Assertion (A): The number of ways in which 5 boys and 5 girls can sit in a row so that all the girls sit together is 86400. Reason (R) : The number of ways in which m (first type of different) things and n (second type of different) things can be arranged in a row so that all the second type of things come together is n!""^((n+1))P_(m) The correct answer is

A : 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 86400. R : The number of ways in which m ( first type of different ) things and n ( second type of different things cna be arranged in a row so that all the second type of things come together is n ! ( m+ l) ! .

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

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

DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1A (PERMUTATIONS )
  1. Find the number of ways of arranging the letters of the word TRIANGLE ...

    Text Solution

    |

  2. The number of arrangements than can be formed by taking all the ...

    Text Solution

    |

  3. The number of ways in which 5 boys and 3 girls can sit in a r...

    Text Solution

    |

  4. 10 men and 6 women are to seated in a row so that no two wowe...

    Text Solution

    |

  5. In a class of 10 students there are 3 girls A,B,C the number...

    Text Solution

    |

  6. The number of ways in which 5 boys and 5 girls can sit in a ro...

    Text Solution

    |

  7. There are n white and n black balls market 1,2,3 . . . N the ...

    Text Solution

    |

  8. The number of ways in which 5 red balls , 4 black balls of...

    Text Solution

    |

  9. The number of ways that the latters of the word 'HOTEL can be ...

    Text Solution

    |

  10. A family of 4 brothers and 3 sisters is to arranged in a row for...

    Text Solution

    |

  11. The number of ways in which 5 boys and 5 girls can be sit in a ...

    Text Solution

    |

  12. The number of ways in which 5 boys and 3 girls can sit in r...

    Text Solution

    |

  13. The number of ways in which 5 mathematics 4, physcis 2, chemistr...

    Text Solution

    |

  14. The number of ways in which 5 mathematics , 4 physics , 2 chemi...

    Text Solution

    |

  15. The number of ways that 5 mathematics , 3 physics and 2 chemis...

    Text Solution

    |

  16. The number of ways in which n books can be arranged so that ...

    Text Solution

    |

  17. The number of ways in which 5 boys and 4 girls can be sit i...

    Text Solution

    |

  18. The number of ways that 5 students can be sit in a row.3 talle...

    Text Solution

    |

  19. Six papers are set in examination , 2 them in Mathematics the n...

    Text Solution

    |

  20. The letters of the word QUESTION are arranged in all possible way...

    Text Solution

    |