AP EAMCET (EAPCET) Mathematic Multiple Choice Questions (MCQs)
AP EAMCET Mathematics - Permutations and Combinations Questions
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71. What is the number of permutations of 5 distinct objects taken 3 at a time?
- a) 60
- b) 100
- c) 120
- d) 10
Answer: a) 60
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72. The number of ways to arrange 4 persons in a circular manner is:
- a) 4!
- b) 4! – 1
- c) (4 – 1)!
- d) 4^2
Answer: c) (4 – 1)!
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73. How many ways can 5 books be arranged on a shelf if 2 of them are identical?
- a) 5!
- b) 5! / 2!
- c) 5! / 3!
- d) 5^2
Answer: b) 5! / 2!
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74. In how many ways can 3 boys and 2 girls be arranged in a line, such that no two girls sit together?
- a) 3! * 2!
- b) 3! * 2!
- c) 3! * 2! * 2
- d) 3! * 2! * 3
Answer: b) 3! * 2!
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75. In how many ways can 6 persons be seated in a round table if two specific persons must sit next to each other?
- a) 5!
- b) 6!
- c) 5! * 2!
- d) 6! / 2
Answer: a) 5!
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76. The number of ways to arrange 4 objects taken 3 at a time, with repetition allowed, is:
- a) 4^3
- b) 4! / (4 – 3)!
- c) 4!
- d) 3^4
Answer: a) 4^3
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77. How many different combinations can be made by selecting 3 students from a group of 6?
- a) 6!
- b) 6P3
- c) 6C3
- d) 6^3
Answer: c) 6C3
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78. The number of ways to arrange the letters of the word "MISSISSIPPI" is:
- a) (11! / 4!4!2!1!)
- b) 11!
- c) (11! / 3!3!2!1!)
- d) (11! / 2!2!2!2!)
Answer: a) (11! / 4!4!2!1!)
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79. The number of ways to select 2 cards from a deck of 52 cards is:
- a) 52C2
- b) 52P2
- c) 52!
- d) 52 × 51
Answer: a) 52C2
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80. How many ways can 4 distinct books be arranged on a shelf if one particular book must be placed in the middle?
- a) 3!
- b) 4!
- c) 3! * 4
- d) 4 * 3!
Answer: a) 3!
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