NMAT Permutations and Combinations MCQs with Solutions: Practice NMAT Previous Year Questions (PYQs)

Content Writer | MBA Professional | Updated 3+ months ago

Permutations and Combinations is an important topic in the Quantitative Aptitude section in NMAT exam. Practising this topic will increase your score overall and make your conceptual grip on NMAT exam stronger.

This article gives you a full set of NMAT Permutations and Combinations MCQs with explanations and NMAT previous year questions (PYQs) for effective practice. Practice of Quantitative Aptitude MCQs including Permutations and Combinations questions regularly will improve accuracy, speed, and confidence in the NMAT 2025 exam.

NMAT Permutations and Combinations MCQs with Solutions

1.
The vice-chancellor of ABC University decided to form a committee to look into the feasibility of introduction of semester systems at the undergraduate level. Five members from the Executive Council and 7 members from the Academic Council were found to be suitable for the job. In how many ways can the vice-chancellor form the committee of 6 members such that at least 4 members of the committee belong to the Academic Council?
- 350
- 462
- 455
- 456
- 420
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2.
How many different ways can 2 students be seated in a row of 4 desks, so that there is always at least one empty desk between the students?
- 4
- 3
- 2
- 6
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3.
In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique two-colour pair. If the order of colours in the pairs doesn’t matter, what is the minimum number of different colours needed to code all 20 chemicals with either a single colour or a unique pair of colours?
- 7
- 6
- 5
- 20
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4.
How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements?
- 8
- 6
- 3
- 10
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