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Permutations And Combinations Questions

Practice 28 Permutations And Combinations questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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28
Total Questions
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2
Easy
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26
Medium
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Hard
Practice by Exam:Quantitative Aptitude(13)Mathematics(9)General Intelligence & Reasoning(2)Reasoning Ability(1)General Aptitude(1)Mathematics and Science(1)Reasoning(1)

About Permutations and Combinations — practice questions, PYQs & concepts

Permutations and Combinations is a frequently-tested topic on Quantitative Aptitude, Mathematics, General Intelligence & Reasoning. ExamTest.live currently lists 28 Permutations and Combinations questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Permutations and Combinations weight in competitive exams

Across our Permutations and Combinations question bank, the largest sources are Quantitative Aptitude (13), Mathematics (9), General Intelligence & Reasoning (2), Reasoning Ability (1) and General Aptitude (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 2 easy Permutations and Combinations questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Permutations And Combinations Questions(1–28 of 28)

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Q1mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
How many ways a captain and a vice-captain can be selected from a team of 11 players?
Q2mediummcqMathematicsAIEEE 20072026
0% accuracy
The set is to be partitioned into three sets of equal size. Thus, . The number of ways to partition is:
Q3mediummcqMathematicsCompetitive Exam Mock2026
0% accuracy
How many members should at least be there in a Club so that it is guaranteed that at least two members have the same month of birth?
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
In a school sports club, students decided to participate in a table tennis singles tournament. Each time a student loses a match, they are eliminated from the tournament. What is the minimum number of matches required to determine the winner?
Q5mediummcqQuantitative AptitudeMock Test2026
0% accuracy
A box contains identical red balls and identical blue balls. How many distinct ways can these balls be arranged in a row?
Q6mediummcqGeneral Intelligence & ReasoningCompetitive Examination2026
0% accuracy
A clerk is given 3 letters written in a language unknown to her. She is also given an envelope with an address corresponding to each letter written in the same language. If the clerk puts the letters in the envelopes, in how many ways can she do it so that none of the 3 envelopes contains the letter with the correct address?
Q7mediummcqReasoningPractice Test2026
A lock requires a 4-character password formed using digits and letters , with no repetition. How many such passwords are possible?
Q8mediummcqQuantitative AptitudeWBCS Prelims2026
How many more words (not necessarily meaningful) can be formed using the letters of the word RYTHM taking all at a time?
Q9mediummcqQuantitative AptitudeCompetitive Exams2026
How many ways can a captain and a vice-captain be selected from a team of players?
Q10mediummcqQuantitative AptitudeCompetitive Exam2026
From a group of and , five persons are to be selected to form a committee so that at least are there in the committee. In how many ways can it be done?
Q11mediummcqMathematicsGeneral Knowledge2026
In a chess tournament each of six players will play every other player exactly once. How many matches will be played in the tournament?
Q12easymcqQuantitative AptitudeCompetitive Exams2026
What is the probability of drawing an ace from a pack of 52 cards?
Q13mediummcqQuantitative AptitudeCompetitive Exams2026
In a school sports club, 25 students decided to participate in a table tennis singles tournament. Each time a student loses a match, they are eliminated from the tournament. What is the minimum number of matches required to determine the winner?
Q14easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
There are persons in a party. If each one of them shakes hands with others exactly once, the total number of handshakes is
Q15mediummcqQuantitative AptitudeMock Test2026
How many rectangles are there in a standard chessboard?

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Q16mediummcqQuantitative AptitudePractice Test2026
A photographer arranges people in a row, but two specific persons refuse to stand next to each other. In how many ways can the arrangement be made?
Q17mediummcqQuantitative AptitudePractice Test2026
From the letters of the word 'BRIGHT', how many distinct -letter word arrangements can be formed without repeating any letter?
Q18mediummcqGeneral Intelligence & ReasoningPractice Paper2026
In a square grid, how many squares can be formed in total ?

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Q19mediummcqReasoning AbilityPractice Test2026
There are different symbols. A code is formed by selecting symbols such that each symbol can be used only once (that is, no symbol is repeated in the code). Also, the order of symbols matters. How many different codes can be formed?
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
A vendor has different fruits. In how many ways can he select fruits?
Q21mediummcqQuantitative AptitudeCompetitive Exam2026
A committee of members is to be formed from men and . What is the probability that the committee contains at least one woman?
Q22mediummcqMathematicsAIEEE 20122026
Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is:
Q23mediummcqMathematicsAIEEE2026
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
Q24mediummcqMathematicsAIEEE2026
In a shop there are five types of ice-creams available. A child buys six ice-creams.Statement - 1: The number of different ways the child can buy the six ice-creams is .Statement - 2: The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging A’s and B’s in a row.
Q25mediummcqMathematicsAIEEE-CBSE-ENG-032026
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:
Q26mediummcqMathematicsAIEEE-CBSE-ENG-032026
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is:
Q27mediummcqMathematicsAIEEE2026
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in a dictionary, then the word SACHIN appears at serial number:
Q28mediummcqGeneral AptitudeGeneral Aptitude
11% accuracy
A shop has distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential.If one wants to purchase scoops of ice-cream, in how many ways can one make that purchase?

Frequently Asked Questions

How many Permutations And Combinations questions are on ExamTest.live?▼
We have 28 Permutations And Combinations questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Permutations And Combinations MCQs free?▼
Yes. All Permutations And Combinations questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Permutations And Combinations questions?▼
Permutations And Combinations questions are commonly asked in Quantitative Aptitude, Mathematics, General Intelligence & Reasoning, Reasoning Ability, General Aptitude. You can filter by exam using the links above.
How do I practice Permutations And Combinations questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.