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  • Question
  • Vowels being never together.


  • Options
  • A. 36 ways
  • B. 84 ways
  • C. 120 ways
  • D. 10 ways

  • Correct Answer
  • 84 ways 

    Explanation

    Total number of words = 5! = 120
    combining the vowels at one place(OEA) with remaining 2 letters MG, letters can be arranged in 3! ways. Also, three vowels can be arranged in 3! ways
    So, when vowels are together, then number of words = 3! x 3! = 36
    there4; Required number of ways, when vowels being never together =120 - 36 = 84


  • Permutation and Combination problems


    Search Results


    • 1. 
      Vowels occupying odd places .

    • Options
    • A. 12 ways
    • B. 16 ways
    • C. 6 ways
    • D. 20 ways
    • Discuss
    • 2. 
      E being always in the middle.

    • Options
    • A. 18 ways
    • B. 24 ways
    • C. 48 ways
    • D. 20 ways
    • Discuss
    • 3. 
      O and A occupying end places.

    • Options
    • A. 12
    • B. 14
    • C. 20
    • D. 18
    • Discuss
    • 4. 
      In how many ways, can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

    • Options
    • A. 15!/(8!)
    • B. 7!/88!
    • C. 15C8 x 6! x 7!
    • D. 15C8 x 8!
    • Discuss
    • 5. 
      There are 10 questions in a question paper. In how many ways, a student can solve there questions, if he solves one or more question?

    • Options
    • A. 1024
    • B. 1025
    • C. 1023
    • D. 1000
    • Discuss
    • 6. 
      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
    • Discuss
    • 7. 
      A mixed doubles tennis game is to be played between two teams ( each team consists of one male and one female). There are four married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played?

    • Options
    • A. 12
    • B. 48
    • C. 36
    • D. 42
    • Discuss
    • 8. 
      There is a 7-digit telephone number with all different digits. If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone number are possible?

    • Options
    • A. 120
    • B. 100000
    • C. 6720
    • D. 30240
    • Discuss
    • 9. 
      In how many ways, can 24 persons be seated around a circular table if there are is 13 seats?

    • Options
    • A. 24! / [13 x 11! ]
    • B. 22! / [14 x 12!]
    • C. 23! / [13 x 11!]
    • D. 24! / [12 x 12!]
    • Discuss
    • 10. 
      There are 14 points in a plane, out of which 4 are collinear. Find the number of triangles made by these points .

    • Options
    • A. 364
    • B. 360
    • C. 368
    • D. 365
    • Discuss


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