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Why Aptitude Permutations and Combinations is Required?

In this Aptitude section you can learn and practice Aptitude Questions with Answers based on "Permutations and Combinations" to improve your skills in order to face written test by IT companies, interview and various entrance tests like Bank Exams, Railway Exams,ICET, GATE, CAT, GRE, MAT, etc.

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AllIndiaExams provides you lots of fully solved Aptitude Permutations and Combinations questions and answers with explanation. Fully solved examples with detailed answer description. All students, freshers can download Aptitude quiz questions with answers as PDF files and eBooks.

Where can I get objective type, multiple choice Aptitude Permutations and Combinations Interview Questions and Answers?

Here you can find both objective type and Multiple Choice Aptitude Permutations and Combinations questions and answers for interview and entrance examination. True or false type questions are also provided here. Practice these bits well to get success in interviews or entrance tests

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Permutations and Combinations - Aptitude Questions Answers

This is aptitude questions and answers section on Permutations and Combinations with explanation for various interview, competitive examinations and entrance tests. Permutations and Combinations is a tough topic for you? Then follow this web page. Here we are providing the Permutations and Combinations Quiz through which the candidates can gain confidence to face any exams. Also, many aspirants are unable to qualify the interviews due to the lack of practice quizzes. Contenders have to practice the Permutations and Combinations MCQ Online Test frequently to gain an overview of the exam. We have provided the Permutations and Combinations Aptitude Multiple Choice Questions in the below sections of this page. Thus, the contenders can learn more from this post related to the Permutations and Combinations Quiz.

Permutations and Combinations Questions - Permutations and Combinations Quiz Details

Online Test Name Permutations and Combinations
Exam Type Multiple Choice Questions
Category Aptitude Quiz
Number of Questions 53


In this section, we have discussed Permutations and Combinations Quiz details. The above table states the overview of the Permutations and Combinations MCQ Quiz, the number of questions, exam type, and category. Aspirants who are eagerly waiting to attend the Permutations and Combinations Online Test can check the below portions of this post. Individuals start practicing to get awareness about Permutations and Combinations Aptitude Questions.

Permutations and Combinations Aptitude Questions

Candidates need to check the basic info that we are providing in this section that is Permutations and Combinations Aptitude Multiple Choice Questions and Answers. To attend any online test aspirants have to know some initial steps. Before visiting the Permutations and Combinations Online test aspirants need to know the pattern of the quiz and the instructions that you need to follow. In this Permutations and Combinations Quiz, candidates have 53 questions. There is no time limit allocated for the exam. Moreover, there are no negative marks in the Permutations and Combinations quiz.

Permutations and Combinations Formulae

1. Factorial Notation - Let n be a positive integer. Then, factorial n denoted n! is defined as:
n! = n(n - 1)(n - 2) ... 3.2.1.
2. Number of Permutations - Number of all permutations of n things, taken r at a time, is given by:
nPr = n(n - 1)(n - 2) ... (n - r + 1) = n!/(n - r)!
3. Then, the number of permutations of these n objects is = n!/(p1!).(p2)!.....(pr!)
4. Number of Combinations - The number of all combinations of n things, taken r at a time is:
nCr = n!/(r!)(n - r)! = n(n - 1)(n - 2) ... to r factors/r!

Permutations and Combinations MCQ Quiz Answers With Solutions

Soon after completing the Permutations and Combinations Aptitude MCQ test, people can check the answers for each question. Our team allindiaexams.in will provide the instant results. And also, aspirants can check the quick explanation for each question you have answered. This reduces a lot of mistakes in future. Candidates, who are interested in choosing this Permutations and Combinations Aptitude as a part of a topic in preparation can immediately start preparing. Individuals can take the test free of cost only through our website.


1. A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
  • A. 21
  • B. 12
  • C. 9
  • D. 108
  • E. 101
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Answer & Explanation

Answer: Option D

Explanation:

The boy can select one trouser in nine ways.

The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12 = 108 ways.

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2. How many three letter words are formed using the letters of the word TIME?
  • A. 12
  • B. 20
  • C. 16
  • D. 24
  • E. 30
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Answer & Explanation

Answer: Option D

Explanation:

The number of letters in the given word is four. 

The number of three letter words that can be formed using these four letters is ⁴P₃ = 4 * 3 * 2 = 24.

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3. Using all the letters of the word "THURSDAY", how many different words can be formed?
  • A. 8
  • B. 8!
  • C. 7!
  • D. 7
  • E. 6!
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Answer & Explanation

Answer: Option B

Explanation:

Total number of letters = 8

Using these letters the number of 8 letters words formed is ⁸P₈ = 8!.

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4. Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
  • A. 3
  • B. 6
  • C. 24
  • D. 120
  • E. 12
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Answer & Explanation

Answer: Option B

Explanation:

There are five letters in the given word.

Consider 5 blanks ....
The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways.
The number of words = 3! = 6.

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5. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
  • A. 720
  • B. 144
  • C. 120
  • D. 36
  • E. 204
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Answer & Explanation

Answer: Option B

Explanation:

The word MEADOWS has 7 letters of which 3 are vowels.

-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways. 
Hence the total ways are 24 * 6 = 144.

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