Permutations & Combinations Practice Test (Chapter-8): 100 MCQs for Competitive Exams in India

Cracking Competitive Exams in India: Permutations and Combinations Practice. In the pursuit of success in competitive exams across India, mastering the art of permutations and combinations is essential. Whether it’s efficiently organizing subject textbooks for exams like SSC and IBPS, forming diverse committees crucial for CRPF and Police Constable exams, or enhancing quantitative aptitude skills for various competitive sectors, these practice questions provide valuable insights for aspiring candidates. These questions are tailored to help you hone your problem-solving abilities and excel in the challenging world of competitive examinations.

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Permutations and Combinations Practice Test-1

20 MCQs
20 Marks
30 Minutes

1 / 20

How many ways can you arrange the letters in the word "BOOK"?

2 / 20

A bookstore has 6 different math textbooks, 4 different physics textbooks, and 5 different chemistry textbooks. In how many ways can you arrange these textbooks on a shelf such that books of the same subject are grouped together?

3 / 20

How many different 2-digit numbers can you form using the digits 1, 2, 3, 4, and 5 if no digit can be repeated?

4 / 20

In how many ways can you choose 2 different books from a shelf with 5 different books?

5 / 20

A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II unless Chemistry part I is also borrowed) In how many ways can he choose the three books to be borrowed ?

6 / 20

If you have 3 red balls, 2 green balls, and 4 blue balls, how many different ways can you arrange these balls in a row?

7 / 20

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

8 / 20

In a deck of 52 playing cards, how many different 5-card poker hands can be formed that contain a straight (five consecutive cards of any suit)?

9 / 20

In a bag, there are 8 red marbles and 6 blue marbles. If you randomly draw 4 marbles from the bag, how many different combinations of marbles can you have where exactly 2 are red and 2 are blue?

10 / 20

How many ways can you choose a committee of 3 students from a class of 15?

11 / 20

In how many ways can the letters of the word BEAUTY be arranged?

12 / 20

How many different license plates can be made using 2 letters followed by 3 digits if repetition is not allowed, and each letter and digit can be used only once?

13 / 20

In a group of 10 people, how many ways can you choose a committee of 3 people and a chairperson from this group if there are 4 men and 6 women, and the committee must include at least one man and one woman?

14 / 20

A bookstore has 8 different novels and 5 different magazines. In how many ways can you select 3 novels and 2 magazines to read?

15 / 20

In how many ways can you choose a president, vice-president, and secretary from a group of 10 people?

16 / 20

How many different 3-letter "words" can you form using the letters A, B, C, D, and E if no letter can be repeated?

17 / 20

In a lottery, there are 50 numbered balls, and you need to select 6 of them. How many different combinations of 6 balls can you choose?

18 / 20

Ammini is arranging 36 identical squares in the form of different rectangles. How many different types of rectangles can she make with these squares?

19 / 20

How many ways can you arrange the letters in the word "BANANA"?

20 / 20

A box contains 5 red balls, 3 green balls, and 4 blue balls. If you randomly draw 3 balls from the box, how many different combinations of balls can you have where at least 2 are blue?

Topics/Syllabus covered in this Chapter’s Mock Test Series

MCQs questions set for Permutations and Combinations Practice
Explanations/Solutions of difficult questions are also given. As soon as you select the wrong answer, the explanation will be shown below the question.
If you need explanation/solution of any other question, then click    below the question in left corner and submit your query.

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