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

31. The value of P(5, 3) is:
    a) 60
    b) 120
    c) 20
    d) 15
    Answer: a) 60
32. The number of ways to select 3 objects from 7 distinct objects is given by C(7, 3). What is the value of C(7, 3)?
    a) 35
    b) 21
    c) 42
    d) 56
    Answer: a) 35
33. How many 4-letter words can be formed using the letters A, B, C, D, E if repetition is allowed?
    a) 256
    b) 625
    c) 1024
    d) 500
    Answer: a) 256
34. If a committee of 3 men and 2 women is to be formed from a group of 5 men and 6 women, how many different ways can this be done?
    a) 100
    b) 150
    c) 200
    d) 300
    Answer: b) 150
35. The number of ways to arrange 4 people in a line from a group of 6 people is:
    a) 720
    b) 120
    c) 360
    d) 240
    Answer: c) 360
36. How many ways can a team of 2 women and 3 men be selected from 5 women and 6 men?
    a) 120
    b) 150
    c) 200
    d) 250
    Answer: b) 150
37. The number of ways to arrange 5 distinct objects in a circle is:
    a) 24
    b) 120
    c) 60
    d) 720
    Answer: a) 24
38. The number of ways in which 3 objects can be chosen from a set of 5 objects is given by C(5, 3). What is the value of C(5, 3)?
    a) 5
    b) 10
    c) 20
    d) 15
    Answer: b) 10
39. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if repetition is not allowed?
    a) 60
    b) 120
    c) 100
    d) 30
    Answer: a) 60
40. A group of 6 people needs to be divided into two groups of 3 people each. In how many ways can this be done?
    a) 10
    b) 20
    c) 30
    d) 40
    Answer: a) 10
41. The number of ways in which 5 objects can be arranged in a row is:
    a) 5!
    b) 5
    c) 25
    d) 120
    Answer: a) 5!
42. In how many ways can 4 books be selected from a shelf of 10 books?
    a) 210
    b) 120
    c) 5040
    d) 252
    Answer: a) 210
43. The number of ways to select 4 persons from a group of 10 people is given by C(10, 4). What is the value of C(10, 4)?
    a) 210
    b) 252
    c) 100
    d) 120
    Answer: a) 210
44. A person has to arrange 4 out of 7 distinct objects in a line. How many ways can this be done?
    a) 35
    b) 42
    c) 210
    d) 240
    Answer: b) 42
45. In how many ways can a group of 3 men be selected from 8 men?
    a) 56
    b) 84
    c) 70
    d) 100
    Answer: c) 70

   l    Next Page >>

Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.

Join in Our Groups

Home Latest Jobs Syllabus Projects Previous Question Papers Entrance Exam Notifications Multiple Choice Question

@ 2025 Students Bizz Platform. All Rights Reserved.