logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • In how many ways can the letters of the word 'Director' be arranged so that the three vowels are never together?


  • Options
  • A. 1800
  • B. 18000
  • C. 16000
  • D. 1600

  • Correct Answer
  • 18000 

    Explanation

    Total number of letters = 8
    Number of vowels = 3 and r occurs twice.
    Total number of arrangements when there is no restriction = 8!/2!

    When three vowels are together, regarding them as one letter, we have only 5 + 1 = 6 letters
    These six letters can be arranged in 6!/2! ways, since r occurs twice.
    But the three vowels can be arranged among themselves in 3! ways.
    Hence number of arrangement when the three vowels are together = 6! /(2 !x 3!)

    ? Required number = 8!/2! - {6! / (2! x 3!)} = 18,000


  • More questions

    • 1. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss


    Comments

    There are no comments.

Enter a new Comment