MHT CET PYQs for permutations and combinations with Solutions: Practice MHT CET Previous Year Questions

Permutations And Combinations is a Class 11 chapter in the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Permutations And Combinations PYQs are:

Permutations of the letters of a word
Conditional permutations and combinations
Circular permutations
Selecting teams and committees
Equations in nCr and nPr

Practising Permutations And Combinations MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get about 2 marks per paper by covering Permutations And Combinations. The chapter recorded 63 questions across the 80 shifts in the data, and 29 of them came in the 2025 and 2026 papers, which is about 1 of the 50 Mathematics questions in a typical shift.

MHT CET Permutations And Combinations Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2021-2026)	63
Questions in the 2025 and 2026 papers (33 shifts)	29
Questions in the 2018 to 2026 papers (80 shifts)	63
Typical number of Mathematics questions from this topic in one shift	About 1 out of 50
Marks for each question	2

The PDF holds 63 questions from MHT CET 2026 to 2021, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Permutations And Combinations PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Permutations And Combinations PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	14	16	About 1 out of 50
2025	15	17	About 1 out of 50
2024	14	18	About 1 out of 50
2023	11	12	About 1 out of 50
2022	1	1	About 1 out of 50

The 2018 to 2021 papers in the PDF add 8 more questions: 2021 had 8, 2020 had none, 2019 had none, 2018 had none.

MHT CET Permutations And Combinations Important Questions: Topic-Wise Breakdown

The major types of questions asked from Permutations And Combinations in MHT CET cover the following topics:

Topic	Questions in the PDF	Share of the PDF
Conditional Permutations	16	25%
Conditional Combinations	11	17%
Circular Permutations	8	13%
Application Of Permutations And Combination In Geometry	5	8%
Number Of Permutations	3	5%
Divisibility Of Numbers	3	5%
Number Of Combinations	3	5%
Pascal's triangle identity	2	3%
Other topics tagged in the PDF	12	19%

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Permutations And Combinations PYQs

Every question in this PDF is a single-correct MCQ. Most are word problems where the number of arrangements or selections is asked.

Question Style	What it Tests
Arrangements of letters	The number of permutations of the letters of the word INSTITUTION, and the number of four letter words that can be formed from the letters of the word BARRACK
Numbers from digits	The number of five-digit numbers formed using given digits without repetition that are greater than a given number
Circular arrangements	The number of ways to seat people around a round table such that two special boys and a special girl never sit together
Selections with conditions	The number of ways to form a team when two specific girls refuse to be in the same team, and the number of ways when two particular students are not selected
Equations in nCr	The value of n from an equation involving nCr, and the maximum number of students for whom a given pattern of answers is possible

How to Use the Permutations And Combinations PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 29 of the 63 questions.
Decide first whether the problem asks for an arrangement or a selection, and whether repetition is allowed.
For a condition such as 'never together', count all cases and subtract the cases where they are together.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Permutations And Combinations PYQs and MCQs

Source: Logic Institute | IIT-JEE, MHT-CET, NEET

Permutations And Combinations PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Permutations And Combinations every year?

Ans. In this PDF, the questions are 14 from 2026, 15 from 2025, 14 from 2024, 11 from 2023 and 1 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 29 questions across 33 shifts, which is about 1 in a typical shift.

Ques. Which topics are asked most frequently in MHT CET Permutations And Combinations?

Ans. Conditional Permutations is the largest topic tag in the PDF with 16 of the 63 questions, about 25%.

Ques. What kind of questions are asked from Permutations And Combinations?

Ans. Single-correct MCQs, mostly word problems. Common ones ask for the number of arrangements of the letters of a word, the number of selections under a condition, or the value of n from an equation.

Ques. What is the best way to practise Permutations And Combinations PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Permutations And Combinations?

Ans. In 2025 and 2026 together the chapter had 29 questions across 33 shifts. Learning the formulas for nPr and nCr and the rule for circular arrangements is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Permutations And Combinations PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for permutations and combinations with Solutions: Practice MHT CET Previous Year Questions

Permutations And Combinations PYQ Statistics (2022-2026)

MHT CET Permutations And Combinations Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Permutations And Combinations PYQs

How to Use the Permutations And Combinations PYQ PDF for MHT CET

Video: Permutations And Combinations PYQs and MCQs

Permutations And Combinations PYQ for MHT CET Mathematics FAQs

1.
There are 6 boys and 4 girls. Arrange their seating arrangement on a round table such that 2 boys and 1 girl can't sit together.

2.
If a polygon has 54 diagonals, find the number of sides of the polygon.

3.
If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exchanged, then the number of members present at the meeting, are

4.
Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are

5.
The number of four-letter words that can be formed using the letters of the word "BARRACK" is:

6.
The number of cubic equations that can be formed with the coefficients 0, 3, 2, 4, 5, 6 when repetition of coefficients is allowed, is....

7.
The value of \[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \] is:

8.
A round table conference is to be held among 20 countries. If two particular delegates wish to sit together, then such arrangements can be done in __________ways.

9.
\(\int \frac{\cos 2x - \cos 2\alpha}{\cos x - \cos \alpha} dx =\)

10.
If in a regular polygon, the number of diagonals are 54, then the number of sides of the polygon are}

11.
A polygon has 44 diagonals. Then the number of sides of the polygon are

12.
The numbers can be formed using the digits $1, 2, 3, 4, 3, 2, 1$ so that odd digits always occupy odd places in ways.

13.
The value of
\[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \]
is ______.

14.
The value of \( {}^{47}C_4 + \sum_{j=1}^5 {}^{(52-j)C_3 \) is

15.
Letters in the word HULULULU are rearranged. The probability of all three L being together is

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Permutations And Combinations PYQ Statistics (2022-2026)

MHT CET Permutations And Combinations Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Permutations And Combinations PYQs

How to Use the Permutations And Combinations PYQ PDF for MHT CET

Video: Permutations And Combinations PYQs and MCQs

Permutations And Combinations PYQ for MHT CET Mathematics FAQs

1.There are 6 boys and 4 girls. Arrange their seating arrangement on a round table such that 2 boys and 1 girl can't sit together.

2.If a polygon has 54 diagonals, find the number of sides of the polygon.

3.If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exchanged, then the number of members present at the meeting, are

4.Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are

5.The number of four-letter words that can be formed using the letters of the word "BARRACK" is:

6.The number of cubic equations that can be formed with the coefficients 0, 3, 2, 4, 5, 6 when repetition of coefficients is allowed, is....

7. The value of \[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \] is:

8.A round table conference is to be held among 20 countries. If two particular delegates wish to sit together, then such arrangements can be done in __________ways.

9.\(\int \frac{\cos 2x - \cos 2\alpha}{\cos x - \cos \alpha} dx =\)

10.If in a regular polygon, the number of diagonals are 54, then the number of sides of the polygon are}

11.A polygon has 44 diagonals. Then the number of sides of the polygon are

12.The numbers can be formed using the digits $1, 2, 3, 4, 3, 2, 1$ so that odd digits always occupy odd places in ways.

13.The value of\[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \] is ______.

14.The value of \( {}^{47}C_4 + \sum_{j=1}^5 {}^{(52-j)C_3 \) is

15.Letters in the word HULULULU are rearranged. The probability of all three L being together is

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1.
There are 6 boys and 4 girls. Arrange their seating arrangement on a round table such that 2 boys and 1 girl can't sit together.

2.
If a polygon has 54 diagonals, find the number of sides of the polygon.

3.
If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exchanged, then the number of members present at the meeting, are

4.
Out of 7 consonants and 4 vowels, the number of words consisting of 3 consonants and 2 vowels are

5.
The number of four-letter words that can be formed using the letters of the word "BARRACK" is:

6.
The number of cubic equations that can be formed with the coefficients 0, 3, 2, 4, 5, 6 when repetition of coefficients is allowed, is....

7.
The value of \[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \] is:

8.
A round table conference is to be held among 20 countries. If two particular delegates wish to sit together, then such arrangements can be done in __________ways.

9.
\(\int \frac{\cos 2x - \cos 2\alpha}{\cos x - \cos \alpha} dx =\)

10.
If in a regular polygon, the number of diagonals are 54, then the number of sides of the polygon are}

11.
A polygon has 44 diagonals. Then the number of sides of the polygon are

12.
The numbers can be formed using the digits $1, 2, 3, 4, 3, 2, 1$ so that odd digits always occupy odd places in ways.

13.
The value of
\[ {}^{47}C_{4} + \sum_{j=1}^{5} {}^{(52-j)}C_{3} \]
is ______.

14.
The value of \( {}^{47}C_4 + \sum_{j=1}^5 {}^{(52-j)C_3 \) is

15.
Letters in the word HULULULU are rearranged. The probability of all three L being together is