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MCQs for JEE (Main) Mathematics - P(n, r) and C(n, r)

Multiple Choice Questions on Permutations and Combinations (P(n, r) and C(n, r))

Questions 46-60

  1. The number of ways to arrange 3 objects from a set of 5 distinct objects is given by:

    • a) P(5, 3)
    • b) C(5, 3)
    • c) P(5, 2)
    • d) C(5, 2)
    Answer: a) P(5, 3)
  2. The number of ways to select 4 objects from a set of 7 objects is given by:

    • a) P(7, 4)
    • b) C(7, 4)
    • c) P(7, 3)
    • d) C(7, 3)
    Answer: b) C(7, 4)
  3. The number of ways to arrange 4 people in a row out of 6 distinct people is:

    • a) P(6, 4)
    • b) C(6, 4)
    • c) P(5, 4)
    • d) C(5, 4)
    Answer: a) P(6, 4)
  4. The number of ways to select 3 men from a group of 8 men is given by:

    • a) P(8, 3)
    • b) C(8, 3)
    • c) P(7, 3)
    • d) C(7, 3)
    Answer: b) C(8, 3)
  5. How many different 5-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if repetition is not allowed?

    • a) P(5, 5)
    • b) C(5, 5)
    • c) P(5, 3)
    • d) C(5, 3)
    Answer: a) P(5, 5)
  6. The number of ways to select 2 objects from 6 distinct objects is given by:

    • a) P(6, 2)
    • b) C(6, 2)
    • c) P(6, 3)
    • d) C(6, 3)
    Answer: b) C(6, 2)
  7. In how many ways can a group of 4 men be selected from a group of 10 men?

    • a) C(10, 4)
    • b) P(10, 4)
    • c) C(9, 4)
    • d) P(9, 4)
    Answer: a) C(10, 4)
  8. The number of ways to arrange 2 objects from 5 distinct objects is:

    • a) P(5, 2)
    • b) C(5, 2)
    • c) P(4, 2)
    • d) C(4, 2)
    Answer: a) P(5, 2)
  9. How many ways can 3 books be selected from a shelf of 7 books?

    • a) C(7, 3)
    • b) P(7, 3)
    • c) C(6, 3)
    • d) P(6, 3)
    Answer: a) C(7, 3)
  10. In how many ways can 5 people be arranged in a row from a group of 8 people?

    • a) P(8, 5)
    • b) C(8, 5)
    • c) P(7, 5)
    • d) C(7, 5)
    Answer: a) P(8, 5)
  11. How many different 3-digit numbers can be formed from the digits 1, 2, 3, 4, 5 if repetition is allowed?

    • a) P(5, 3)
    • b) C(5, 3)
    • c) P(5, 2)
    • d) C(5, 2)
    Answer: a) P(5, 3)
  12. The number of ways to select 5 objects from a set of 10 objects is given by:

    • a) P(10, 5)
    • b) C(10, 5)
    • c) P(9, 5)
    • d) C(9, 5)
    Answer: b) C(10, 5)
  13. The number of ways to arrange 3 objects from a set of 7 objects is:

    • a) P(7, 3)
    • b) C(7, 3)
    • c) P(6, 3)
    • d) C(6, 3)
    Answer: a) P(7, 3)
  14. A committee of 2 men and 3 women is to be formed from a group of 5 men and 6 women. How many different ways can this be done?

    • a) P(5, 2) * C(6, 3)
    • b) C(5, 2) * C(6, 3)
    • c) P(6, 2) * C(5, 3)
    • d) P(5, 2) * P(6, 3)
    Answer: b) C(5, 2) * C(6, 3)
  15. How many ways can 4 men be selected from 9 men and arranged in a line?

    • a) P(9, 4)
    • b) C(9, 4)
    • c) P(9, 5)
    • d) C(9, 5)
    Answer: a) P(9, 4)


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