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

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Permutations & Combinations Mock Quiz-3

20 MCQs
20 Marks
30 Minutes

1 / 20

In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

2 / 20

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

3 / 20

If you have 5 different books and you want to arrange them on a shelf, how many different arrangements are possible?

4 / 20

How many different pairs of socks can you make from a drawer containing 5 pairs of red socks, 4 pairs of blue socks, and 3 pairs of green socks?

5 / 20

The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by

6 / 20

How many different arrangements can be made using the letters of the word "COMPUTER" where no two vowels are adjacent?

7 / 20

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

8 / 20

A company has 7 employees, and they want to form a project team with 4 members. If the team must include exactly 2 software engineers and 1 manager, how many different teams can be formed?

9 / 20

How many 3-digit numbers can be formed from the digit 2,3,5,6,7 and 9, which are divisible by 5 and none of the digits is repeated?

10 / 20

A box contains 6 red balls and 4 blue balls. How many different ways can you select 3 balls from the box without replacement if at least one ball must be red?

11 / 20

A committee of 5 students is to be formed from a class of 20 students. How many different committees can be formed if the committee can consist of at most 2 girls?

12 / 20

In a coding competition, there are 6 problems to solve. If a participant can choose to solve any number of problems, how many different ways can they choose a set of problems to solve?

13 / 20

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

14 / 20

How many ways can you arrange the letters in the word "SUCCESS" such that no two 'S's are adjacent?

15 / 20

In how many different ways can you arrange the digits 1, 2, 3, 4, 5, 6, 7, and 8 to form a four-digit number with no repetition?

16 / 20

In a deck of 52 playing cards, how many different five-card poker hands can be formed that contain exactly two pairs (e.g., two Aces, two Kings, and one other card)?

17 / 20

In a deck of 52 playing cards, how many different five-card poker hands can be formed that contain a full house (three of a kind and a pair)?

18 / 20

A group of 10 people is going on a road trip, and they want to sit in a row of 10 seats in a van. How many different seating arrangements are possible?

19 / 20

In a deck of 52 playing cards, how many different ways can you select 3 cards, allowing for duplicates (repetition) in the selection?

20 / 20

How many different seven-letter words can be formed using the letters of the word "REFRESH"?

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