Permutation and Combination Questions and Answers

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Quantitative Aptitude - Permutation and Combination Questions with Answers develop skills to arrange and select objects efficiently. Permutation & Combination Aptitude is widely used in SSC, banking, and competitive exams.

Permutation and Combination

Showing 10 of 64 questions

11. 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?

  • 63
  • 90
  • 126
  • 45
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12. How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

  • 40
  • 400
  • 5040
  • 2520
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13. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

  • 10080
  • 4989600
  • 120960
  • None of these
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14. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

  • 120
  • 720
  • 4320
  • 2160
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15. In how many ways can the letters of the word "CAT" be arranged?

  • A) 3
  • B) 4
  • C) 5
  • D) 6
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16. How many 3-digit numbers can be formed from digits 1, 2, 3, 4 if repetition is not allowed?

  • A) 12
  • B) 24
  • C) 64
  • D) 36
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17. How many ways can you arrange the letters of the word "BOOK"?

  • A) 12
  • B) 24
  • C) 6
  • D) 18
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18. In how many ways can 5 people sit in a row?

  • A) 60
  • B) 100
  • C) 120
  • D) 240
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19. The number of permutations of n different things taken all at a time is—

  • A) n
  • B) n!
  • C) n²
  • D) nⁿ
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20. How many ways can 4 different books be arranged on a shelf?

  • A) 12
  • B) 24
  • C) 36
  • D) 48
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