Mathematics

Permutations And Combinations MCQs

Practice Permutations And Combinations MCQs for competitive exams.

Permutations And Combinations MCQs

Practice questions from this topic.

In an examination there are three multiple choice questions and each question has 4 choices. The number of ways in which a student can fail to get all answer correct is-

  1. A. 11
  2. B. 27
  3. C. 12
  4. D. 63
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In how many different ways can the letters the word FORMULATE be arranged?

  1. A. 8100
  2. B. 40320
  3. C. 153420
  4. D. 362880 E. None of these
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In how many different ways can letters of the word OFFICES be arranged?

  1. A. 2520
  2. B. 5040
  3. C. 1850
  4. D. 1680 E. None of these
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In how many different ways can the letters of the word DAILY be arranged?

  1. A. 48
  2. B. 60
  3. C. 120
  4. D. 160 E. None of these
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In how many different ways can the letters of the word ‘BAKERY’ be arranged?

  1. A. 2400
  2. B. 2005
  3. C. 720
  4. D. 5040 E. None of these
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In how many different ways can the letters of the word EXTRA be arranged so that the vowels are never together?

  1. A. 120
  2. B. 48
  3. C. 72
  4. D. 168 E. None of these
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In how many ways can a committee of 4 people be chosen out of 8 people?

  1. A. 32
  2. B. 70
  3. C. 110
  4. D. 126 E. None of these
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In how many different ways can the letters of the word ABSENTEE be arranged?

  1. A. 512
  2. B. 6720
  3. C. 9740
  4. D. 40320 E. None of these
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$$left( {{}^{75}{P_2} - {}^{75}{C_2}} right) = ?$$

  1. A. 0
  2. B. 75
  3. C. 150
  4. D. 2775 E. 5550
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In how many different ways can the letters of the word TOTAL be arranged?

  1. A. 45
  2. B. 60
  3. C. 72
  4. D. 120 E. None of these
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In how many ways can the letters of the word MATHEMATICS be arranged so that all the vowels always come together?

  1. A. 10080
  2. B. 120960
  3. C. 4989600
  4. D. 21160 E. None of these
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A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee can be formed if it should have at least 1 man?

  1. A. 115
  2. B. 120
  3. C. 125
  4. D. 140 E. None of these
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