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Permutation and Combination (Aptitude) Question and Answers-Page first

Permutation and Combination problems


  • 1. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

  • Options
  • A. 120
  • B. 720
  • C. 4320
  • D. 2160
  • E. None of these

  •           Discuss     

  • 2. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

  • Options
  • A. 32
  • B. 48
  • C. 64
  • D. 96
  • E. None of these

  •           Discuss     

  • 3. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

  • Options
  • A. 210
  • B. 1050
  • C. 25200
  • D. 21400
  • E. None of these

  •           Discuss     

  • 4. In how many ways can the letters of the word 'LEADER' be arranged?

  • Options
  • A. 72
  • B. 144
  • C. 360
  • D. 720
  • E. None of these

  •           Discuss     

  • 5. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

  • Options
  • A. 32
  • B. 48
  • C. 36
  • D. 60
  • E. 120

  •           Discuss     

  • 6. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

  • Options
  • A. 360
  • B. 480
  • C. 720
  • D. 5040
  • E. None of these

  •           Discuss     

  • 7. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

  • Options
  • A. 266
  • B. 5040
  • C. 11760
  • D. 86400
  • E. None of these

  •           Discuss     

  • 8. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

  • Options
  • A. 810
  • B. 1440
  • C. 2880
  • D. 50400
  • E. 5760

  •           Discuss     

  • 9. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

  • Options
  • A. 5
  • B. 10
  • C. 15
  • D. 20

  •           Discuss     

  • 10. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

  • Options
  • A. 63
  • B. 90
  • C. 126
  • D. 45
  • E. 135

  •           Discuss     


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