JEE (Main) Mathematics - PERMUTATIONS AND COMBINATIONS Multiple Choice Questions (MCQs)

JEE (Main) Mathematics - Permutations and Combinations MCQs

1. How many ways can 5 people be arranged in a row for a photo?
   a) 120
   b) 60
   c) 24
   d) 12
   Answer: a) 120
2. In how many ways can a committee of 3 people be selected from 8 people?
   a) 56
   b) 56
   c) 56
   d) 56
   Answer: d) 56
3. A box contains 3 red balls and 2 green balls. In how many ways can 3 balls be selected from the box?
   a) 10
   b) 12
   c) 15
   d) 12
   Answer: b) 12
4. How many distinct words can be formed using the letters of the word "SUCCESS"?
   a) 840
   b) 720
   c) 360
   d) 630
   Answer: d) 630
5. The number of ways to arrange the letters of the word "MATHEMATICS" is:
   a) 90720
   b) 45360
   c) 60480
   d) 181440
   Answer: a) 90720
6. How many 3-digit numbers can be formed using the digits 3, 5, 7, 8, 9, with repetition allowed?
   a) 125
   b) 120
   c) 50
   d) 75
   Answer: a) 125
7. From a group of 10 men and 6 women, a committee of 6 people is to be formed. How many committees consist of exactly 3 men and 3 women?
   a) 1200
   b) 300
   c) 900
   d) 1000
   Answer: a) 1200
8. How many different ways can 4 identical red balls, 3 identical green balls, and 2 identical blue balls be arranged in a row?
   a) 2520
   b) 1260
   c) 630
   d) 720
   Answer: b) 1260
9. A password consists of 3 digits followed by 2 alphabets. How many different passwords can be formed if repetition of digits and letters is allowed?
   a) 1000
   b) 260000
   c) 10000
   d) 26000
   Answer: b) 260000
10. How many ways can a team of 5 people be selected from 8 men and 7 women such that the team consists of 3 men and 2 women?
    a) 1680
    b) 1200
    c) 1400
    d) 168
    Answer: a) 1680
11. How many different ways can a flag be formed using 3 red, 2 green, and 4 blue flags if no two adjacent flags can be of the same color?
    a) 24
    b) 48
    c) 72
    d) 96
    Answer: b) 48
12. How many ways can 3 books be selected from a shelf of 6 distinct books?
    a) 6
    b) 20
    c) 120
    d) 15
    Answer: b) 20
13. How many ways can a student select 4 questions from a set of 10 questions if each question must be selected?
    a) 24
    b) 210
    c) 120
    d) 90
    Answer: b) 210
14. A password consists of 5 digits, and the digits can repeat. How many different passwords can be formed if the first digit must be odd and the rest can be any digit?
    a) 25000
    b) 50000
    c) 12500
    d) 100000
    Answer: a) 25000
15. How many distinct permutations can be formed from the letters of the word "LEADERSHIP"?
    a) 45360
    b) 30240
    c) 20160
    d) 15120
    Answer: a) 45360

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