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Permutations And Combinations Questions

Practice 15 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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About Permutations and Combinations — practice questions, PYQs & concepts

Permutations and Combinations is a frequently-tested topic on Mathematics, Quantitative Aptitude, General Aptitude. ExamTest.live currently lists 15 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 Mathematics (7), Quantitative Aptitude (4), General Aptitude (1), Reasoning Ability (1) and Reasoning (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 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.
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  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Permutations And Combinations Questions(115 of 15)

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Q1mediummcqMathematicsAIEEE 20072026
0% accuracy
The set is to be partitioned into three sets of equal size. Thus, . The number of ways to partition is:
Q2mediummcqQuantitative 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?
Q3mediummcqQuantitative 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?
Q4mediummcqMathematicsAIEEE2026
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:
Q5mediummcqMathematicsAIEEE-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:
Q6mediummcqMathematicsAIEEE-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:
Q7mediummcqMathematicsAIEEE2026
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.
Q8mediummcqMathematicsAIEEE2026
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
Q9mediummcqMathematicsAIEEE 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:
Q10mediummcqQuantitative AptitudeCompetitive Exam2026
A vendor has different fruits. In how many ways can he select fruits?
Q11mediummcqQuantitative 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?
Q12mediummcqReasoning 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?
Q13mediummcqReasoningPractice Test2026
A lock requires a 4-character password formed using digits and letters , with no repetition. How many such passwords are possible?
Q14mediummcqGeneral Intelligence & ReasoningPractice Paper2026
In a square grid, how many squares can be formed in total ?

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Q15mediummcqGeneral AptitudeGeneral Aptitude
10% 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 15 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 Mathematics, Quantitative Aptitude, General Aptitude, Reasoning Ability, Reasoning. 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.