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

Educational Content Expert | Updated on - Nov 26, 2025

permutations and combinations is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for permutations and combinations with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including permutations and combinations questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for permutations and combinations with Solutions

1.
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.
- 18!
- $\frac {19!}{2!}$
- 2 * 18!
- 19! * 2!
View Solution
2.
Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:How much profit did the company earn in the year 2002?Statement I: The company earned 40% more profit in the year 2003 than that in the year 2001.Statement II: The company earned a total profit of Rs. 20 crores in the years 2001 and 2002 taken together.Statement III: In the year 2003, the company earned 80% of the profit earned in 2002.
- (A) Either statement III alone or statements I and II together are sufficient.
- (B) Only statement III is sufficient.
- (C) Statement I and Statement II together are sufficient.
- (D) Only statement I, II, and III together are sufficient.
View Solution
3.
Letters in the word HULULULU are rearranged. The probability of all three L being together is
- $\frac{3}{20}$
- $\frac{2}{5}$
- $\frac{3}{28}$
- $\frac{5}{23}$
View Solution
4.
Find the value of $y - x$ from the following equation: $2 [\begin{array}{cc} x & 5 \\ 7 & y - 3 \end{array}] + [\begin{array}{cc} 3 & - 4 \\ 1 & 2 \end{array}] = [\begin{array}{cc} 7 & 6 \\ 15 & 14 \end{array}]$
- (A) $7$
- (B) $- 7$
- (C) $6$
- (D) $- 6$
View Solution
5.
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.
- $ 6! \times 4! $
- $ 6! \times 3! \times 4! $
- $ 5! \times 4! $
- $ 5! \times 3! \times 4! $
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MHT CET PYQs for permutations and combinations with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for permutations and combinations with Solutions

1.
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.

3.
Letters in the word HULULULU are rearranged. The probability of all three L being together is

4.
Find the value of $y - x$ from the following equation: $2 [\begin{array}{cc} x & 5 \\ 7 & y - 3 \end{array}] + [\begin{array}{cc} 3 & - 4 \\ 1 & 2 \end{array}] = [\begin{array}{cc} 7 & 6 \\ 15 & 14 \end{array}]$

5.
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.

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MHT CET PYQs for permutations and combinations with Solutions

1.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.

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

4.Find the value of y−x from the following equation:2[x57y−3]+[3−412]=[761514]

5.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.

Fees Structure

Structure based on different categories

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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.

3.
Letters in the word HULULULU are rearranged. The probability of all three L being together is

4.
Find the value of $y - x$ from the following equation: $2 [\begin{array}{cc} x & 5 \\ 7 & y - 3 \end{array}] + [\begin{array}{cc} 3 & - 4 \\ 1 & 2 \end{array}] = [\begin{array}{cc} 7 & 6 \\ 15 & 14 \end{array}]$

5.
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.