Home
Class 11
MATHS
How many words can be formed with the le...

How many words can be formed with the letters of the words ‘ORDINATE’ so the vowels occupy odd places?

Text Solution

Verified by Experts

`4` vowels and `4` consonants. Total `8` letters.

(i) No. of words` =4!×4!

=24×24=576`

Because` 4` vowels are to be in old places and the `4`

consonants are to be adjusted in the remaining places.

Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    RD SHARMA|Exercise Solved Examples And Exercises|81 Videos

  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|280 Videos

Similar Questions

Explore conceptually related problems

The number of arrangements that can be formed with the letters of the word ORDINATE,so that the vowels occupy odd places are

How many words can be formed with the letters of the word 'ANGLE' in which vowels occupy odd positions?

How many words can be formed out of the letters of the word,ARTICLE,so that vowels occupy even places?

How many words can be formed with the letters of the word 'GANESHPURI' in which vowels occupy odd positions?

hHow many different words can be formed with the letters of the word PENCIL when vowels occupy even places.

How many words can be formed out of the letters of the word,ORIENTAL,so that the vowels always occupy the odd places?

RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. If a denotes the number of permutations of (x+2) things taken all at a...

    Text Solution

    |

  2. In how many ways can 9 examination papers arranged so the best and the...

    Text Solution

    |

  3. How many words can be formed with the letters of the words ‘ORDINATE’ ...

    Text Solution

    |

  4. A code word is to consist of two distinct English alphabets followed b...

    Text Solution

    |

  5. In how many ways can 5 children the arranged in a row such that two of...

    Text Solution

    |

  6. How many words can be formed from the letters of the word, TRIANGLE? ...

    Text Solution

    |

  7. (i) How many different words can be formed with letters of the word ‘S...

    Text Solution

    |

  8. In how many ways can 5 girls and 3 boys be seated in a row so that ...

    Text Solution

    |

  9. How many words can be formed with the letters of the words ‘ORDINATE’ ...

    Text Solution

    |

  10. When a group photograph is taken, all the seven teachers should be in ...

    Text Solution

    |

  11. In a class of 10 students there are 3 girls A, B, C. In how many di...

    Text Solution

    |

  12. Compute: (20 !)/(18 !)

    Text Solution

    |

  13. Compute: (10 !)/(6! 10 !)

    Text Solution

    |

  14. Convert the following products into factorial: 6.7.8.9.10

    Text Solution

    |

  15. Convert the following products into factorial: 2.4.6.8

    Text Solution

    |

  16. Find the LCM of 4! 5! and 6!

    Text Solution

    |

  17. Compute: (30 !)/(28 !)

    Text Solution

    |

  18. Compute: (11 !-10 !)/(9!)

    Text Solution

    |

  19. Prove that: 1/(9!)+1/(10 !)+1/(11 !)=(122)/(11 !)

    Text Solution

    |

  20. Find\ x in each of the following: 1/(4!)+1/(5!)=x/(6!)

    Text Solution

    |