Mathematics - Permutation Combination
Practise 19 VITEEE previous year questions on Permutation Combination, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.
Permutation Combination has been asked in 10 of the 18 years of VITEEE papers analysed (2006–2024), with 19 questions in all. 32% of them were easy, 53% moderate and 16% tough. Most of its questions came from 2024, with 3 questions that year. In the last three years (2022–2024) it had 9 questions across 3 papers, about 3 per paper.
The chapter's 8 topics are not weighted equally: Arrangement under Constraint (4 questions, 21%), Permutation (3 questions, 16%), and Combination (2 questions, 11%) have been asked the most. Arrangement under Constraint has also led over the last five years, with 3 questions. Arrangement under Constraint has produced the most tough questions (1).
- 1If 6 letter words, with or without meaning can be formed out of these letters of the word "MATHEMATICS", repetition of letters is not allowe2024Selection of one or more item
- 26 couples decided to form a committee of four members, the number of different committees that can be formed in which no couple finds place 2024Selection of one or more item
- 3Two red counters, three green counters and four blue counters are placed in a row in random order. The probability that no two blue counters2024Arrangement under Constraint
- 4If \({ }^n P_r={ }^n P_{r+1}\) and \({ }^n C_r={ }^n C_{r-1}\), then the values of \( {n}\) and \( {r}\) are2023Factorial
- 5The value of \( {C_1}{2}+ {C_3}{4}+ {C_5}{6}+ \). is equal to2023Factorial
- 6Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can w2023Arrangement under Constraint
- 7If \( {m}\) men and \( {n}\) women are to be seated in a row so that no two women sit together. If \(m > n\), then the number of ways in whi2022Arrangement under Constraint
- 8Number of 6-digit telephone numbers, which can be constructed with digits \(0,1,2,3,4,5,6,7,8,9\), if each number starts with 35 and no digi2022Combination
- 9Children have been invited to a birthday party. It is necessary to give them return gifts. For the purpose, it was decided that they would b2022Division and Distribution of Distinct Items
- 10The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are2018Division and Distribution of Distinct Items
- 11Ten different letters of an alphabet are given, words with five letters are formed from these given letters. Then the number of words which 2017Arrangement under Constraint
- 12Number of ways of selecting three squares on a chessboard so that all the three be on a diagonal line of the board or parallel to it is2016Combination
- 13If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the2016Permutation
- 14The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with ver2013Geometric Permutation
- 15The sides and of a have respectively 3,4 and 5 points lying on them. The number of triangles that can be constructed using these points as v2013Geometric Permutation
- 16There are 5 letters and 5 different envelopes. The number of ways in which all the letters can be put in wrong envelope, is2012Dearrangement
- 17The number of ways of painting the faces of a cube of different colours is2011Permutation
- 18In how many ways 6 letters be posted in 5 . different letter boxes?2011Dearrangement
- 19A binary sequence is an array of 0 's and l's. The number of -digit binary sequences which contain even number of 0 's is2009Permutation
Frequently Asked Questions
1.How many questions are available for Permutation Combination?
This chapter includes 19 questions compiled from VITEEE papers spanning 2009 to 2024.
2.Are these questions only from VITEEE, or from other exams too?
These are VITEEE questions specifically for the Permutation Combination chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Permutation Combination an important chapter for VITEEE Mathematics?
Permutation Combination has appeared in 10 of the 18 years of VITEEE papers covered here, with 19 questions across 10 papers - about 2 per paper it appears in.
4.What is the difficulty level of Permutation Combination questions in VITEEE?
Of the 19 questions analysed for this chapter, 32% are easy, 53% moderate and 16% tough. 2024 had the most, with 3 questions.
5.Which topics in Permutation Combination should I focus on?
These topics have carried the most weightage in Permutation Combination:
- Arrangement under Constraint - 4 questions (21%)
- Permutation - 3 questions (16%)
- Combination - 2 questions (11%)
- Arrangement under Constraint has produced the most tough questions (1).
6.Is Permutation Combination's weightage in VITEEE going up or down?
Across all 10 papers analysed, Permutation Combination has averaged about 1.9 questions per paper. In the last three years (2022–2024), that average has risen, at about 3.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.