Home
Class 11
MATHS
How many permutations are there of the 1...

How many permutations are there of the 11 letters in MISSISSIPPI
all the l's not come together?

Text Solution

Verified by Experts

There are. 11 letters, of which `M` appears 1 time, I appears 4 xx, `S` appears 4 xx and `P` appears 2 . xx. Total number of words `=11 !/(4 !)(4 !)(2 !) doteq 34650` Number of words with all I.s come together `=8 !/4 ! 2 !=840` `therefore` Number of words with all I.s not together `=` Total number of w.ords `-` Number of words with all I.s come together `=34650-840=33810`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    V PUBLICATION|Exercise QUESTION BANK|84 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    V PUBLICATION|Exercise QUESTION BANK|43 Videos

Similar Questions

Explore conceptually related problems

How many permutations are there of the 11 letters in MISSISSIPPI taken all together?

Consider the word ASSASSINATION. How many permutations are there of the letters of the given word?

The number of permutations of the letters of the word 'CONSEQUENCE' in which all the three E's are together, is a) 9!3! b) (9!)/(2!) c) (9!)/(2!2!3!) d) (9!)/(2!2!)

The letters of the word "SOCIETY" are placed at random in a row What is the probability that in the random arrangement of the letters of the given word the three vowels come together?

The letters of the word "SOCIETY" are placed at random in a row Find the number of arrangements of the letters of the given word in a row so that the three vowels come together.

How many four letter words can be made from the two letters A and B ?

In how many ways can 9 examination papers be arranged so that the best and the worst papers never come together?

Consider the word ASSASSINATION. How many different ways can be arranged so that the 4S's do not come together?

Consider the word ‘RESHMA’ How many different words can be formed using the letters of the given word so that the first letter is a vowel

Consider the word ‘RESHMA’ How many different words can be formed using the letters of the given word so that the first letter is R and the last is A

V PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONBANK
  1. How many words, with or without meaning, can be formed using all the l...

    Text Solution

    |

  2. How many words, with or without meaning that can be made from the lett...

    Text Solution

    |

  3. How many permutations are there of the 11 letters in MISSISSIPPI al...

    Text Solution

    |

  4. In how many ways can the letters of the word PERMUTATIONS be arranged ...

    Text Solution

    |

  5. If ^nC9 =^nC8 find 'n' and ^nC17

    Text Solution

    |

  6. A committee of 3 persons is to be constituted from a group of 2 men an...

    Text Solution

    |

  7. What is the number of ways of choosing 4 cards from a pack of 52 playi...

    Text Solution

    |

  8. If ^n C2 = ^nC8 then find n

    Text Solution

    |

  9. How many chords can be drawn through 21 points on a circle?

    Text Solution

    |

  10. In how many ways can a team of 3 boys and 3 girls be selected from 5 b...

    Text Solution

    |

  11. Find the number of ways of selecting 9 balls from 6 red balls, 5 white...

    Text Solution

    |

  12. Determine the number of 5 card combinations out of a deck of 52 cards ...

    Text Solution

    |

  13. In how many ways can one select a cricket team of eleven from 17 playe...

    Text Solution

    |

  14. A bag contains 5 black and 6 red balls. Determine the number of ways i...

    Text Solution

    |

  15. In how-many ways can a student choose a programme of 5 courses if 9 co...

    Text Solution

    |

  16. How many words with or without meaning each of three vowels and two c...

    Text Solution

    |

  17. A group consists of 4 girls and 7 boys. In how many ways can a team of...

    Text Solution

    |

  18. If all the pemutations of the word ‘ ‘AGAIN” are arranged in a diction...

    Text Solution

    |

  19. How many numbers greater than 1000000 can be formed by using the digit...

    Text Solution

    |

  20. In how many ways can 5 girls and 3 boys be seated in a row so that no ...

    Text Solution

    |