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  • Question
  • E being always in the middle.


  • Options
  • A. 18 ways
  • B. 24 ways
  • C. 48 ways
  • D. 20 ways

  • Correct Answer
  • 24 ways 

    Explanation

    When E is fixed in the middle, then there are four places left to be filled by four remaining letters O, M, G and A and this can be done in 4! ways.
    ? Total number of ways = 4! = 24


  • Permutation and Combination problems


    Search Results


    • 1. 
      O and A occupying end places.

    • Options
    • A. 12
    • B. 14
    • C. 20
    • D. 18
    • Discuss
    • 2. 
      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
    • 3. 
      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
    • 4. 
      Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.

    • Options
    • A. 60
    • B. 120
    • C. 110
    • D. 75
    • Discuss
    • 5. 
      In how many ways, 12 balls can be divided between 2 boys, one receiving 5 and the other 7 balls?

    • Options
    • A. 1784
    • B. 1584
    • C. 1854
    • D. 1560
    • Discuss
    • 6. 
      Vowels occupying odd places .

    • Options
    • A. 12 ways
    • B. 16 ways
    • C. 6 ways
    • D. 20 ways
    • Discuss
    • 7. 
      Vowels being never together.

    • Options
    • A. 36 ways
    • B. 84 ways
    • C. 120 ways
    • D. 10 ways
    • Discuss
    • 8. 
      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
    • 9. 
      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
    • 10. 
      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


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