Permutations and Combinations PYQs - Last 5 Years

TS EAMCET / Mathematics / Algebra / 65 recent questions

MathematicsAlgebra2021-2025

All Permutations and Combinations PYQs Last 10 Years Create chapter test

Practice 65 TS EAMCET Mathematics questions from Permutations and Combinations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

65

PYQs on Page

Mathematics / Algebra

2022-2025

Year Range

Based on indexed question metadata

65

Last 5 Years

2021-2025

65

Last 10 Years

2016-2025

Recent Year Trend

2022

2023

2024

2025

202218 max PYQs/year2025

Question Types

65PYQs

MCQ100%

Difficulty Mix

#1 Unknown65

65 in last 5 years65 in last 10 years

Last 5 Years Permutations and Combinations Questions

Showing 50 of 65 filtered questions.

1Permutations And Combinations

5 boys and 5 girls have to sit around a table. The number of ways in which all of them can sit so that no two boys and no two girls are together is

2Permutations And Combinations

All possible words (with or without meaning) the contain the word 'GENTLE' are formed using all the letters of the word 'INTELLIGENCE'. Then, the number of words in which the word 'GENTLE' appears among the first nine positions only is

3Permutations And Combinations

\({ }^{20} P_5-{ }^{19} P_5=\)

4Permutations And Combinations

All the letters of the word MOTHER are arranged in all possible ways and the resulting words (may or may not have meaning) are arranged as in the dictionary. The number of words that appear after the word MOTHER is

5Permutations And Combinations

The number of positive integral solution of $\frac{1}{x}+\frac{1}{y}=\frac{1}{2025}$ is

6Permutations And Combinations

The number of positive integral solutions of $x y z=60$ is

7Permutations And Combinations

There are 15 stations on a train route and the train has to be stopped at exactly 5 stations among these 15 stations. If it stops at atleast two consecutive stations, then the number of ways in which the train can be stopped is

8Permutations And Combinations

Number of all possible words (with or without meaning) that can be formed using all the letters of the word CABINET in which neither the word CAB nor the word NET appear is

9Permutations And Combinations

Number of all possible ways of distributing eight identical apples among three persons is

10Permutations And Combinations

If all the letters of the word ACADEMICIAN are permuted in all possible ways, then the number of permutations in which no two $A^{\prime} s$ are together and all the consonants are together is

11Permutations And Combinations

The number of all possible three letter words that can be formed by choosing three letters from the letters of the word FEBRUARY so that a vowel always occupies the middle place is

12Permutations And Combinations

The number of ways in which 6 boys and 4 girls can be arranged in a row such that between any two girls there must be exactly 2 boys is

13Permutations And Combinations

Number of triangles whose vertices are the points $(x, y)$ in the $X Y$-plane with integer coordinates satisfying $0 \leq x \leq 4$ and $0 \leq y \leq 4$ is

14Permutations And Combinations

If all the letters of the word 'HANDLE' are permuted in all possible ways and the words (with or without meaning) thus formed are arranged in dictionary order, then the rank of the word 'HELAND' is

15Permutations And Combinations

A student has to answer a multiple-choice question having 5 alternatives in which two or more than two alternatives are correct. Then, the number of ways in which the student can answer that question is

16Permutations And Combinations

If all the letters of the word MOST are permuted and the words (with or without meaning) thus obtained are arranged in the dictionary order, then the rank of the words STOM when counted from the rank of the word MOST, is

17Permutations And Combinations

The number of non-negative integral solutions of the equation $x+y+z+t=10$ when $x \geq 2, z \geq 5$ is

18Permutations And Combinations

The number of integers lying between 1000 and 10000 such that the sum of all the digits in each of those numbers becomes 30 is

19Permutations And Combinations

The number of all possible combinations of 4 letters which are taken from the letters of the word 'ACCOMMODATION', is

20Permutations And Combinations

The number of ways in which 15 identical gold coins can be distributed among 3 persons such that each one gets atleast 3 gold coins, is

21Permutations And Combinations

If ${ }^n c_r=c_r$ and $2 \frac{c_1}{c_0}+4 \frac{c_2}{c_1}+6 \frac{c_3}{c_2}+\ldots .+2 n \frac{c_n}{c_{n-1}}=650$, then
${ }^n C_2=$ $\qquad$

22Permutations And Combinations

The sum of all the 4 -digit numbers formed by taking all the digits from $2,3,5,7$ without repetition, is

23Permutations And Combinations

The number of ways in which 4 different things can be distributed to 6 persons so that no person gets all the things is

24Permutations And Combinations

If the number of circular permutations of 9 distinct things taken 5 at a time is $n_1$ and the number of linear permutation of 8 distinct things taken 4 at a time is $n_2$, then $\frac{n_1}{n_2}=$

25Permutations And Combinations

Among the 4 -digit numbers that can be formed using the digits $1,2,3,4,5$ and 6 without repeating any digit, the number of numbers which are divisible by 6 is

26Permutations And Combinations

The sum of all the 4-digit numbers formed by taking all the digits from $0,3,6,9$ without repetition is

27Permutations And Combinations

Number of ways in which the number 831600 can be split into two factors which are relatively prime is

28Permutations And Combinations

The number of ways in which 6 distinct things can be distributed into 2 boxes so that no box is empty is

29Permutations And Combinations

If 4 letters are selected at random from the letters of the word PROBABILITY, then the probability of getting a combination of letters in which atleast one letter is repeated is

30Permutations And Combinations

All the letters of word 'COLLEGE' are arranged in all possible ways and all the seven letter words (with or without meaning) thus formed are arranged in the dictionary order. Then, the rank of the word 'COLLEGE' is

31Permutations And Combinations

A question paper has 3 parts $A, B$ and $C$. Part $A$ contains 7 questions, part $B$ contains 5 questions and Part Ccontains 3 questions. If a candidate is allowed to answer not more than 4 questions from part $A$; not more than 3 questions...

32Permutations And Combinations

If all the possible 3-digit numbers are formed using the digits $1,3,5,7$ and 9 without repeating any digit, then the number of such 3 -digit numbers which are divisible by 3 is

33Permutations And Combinations

A man has 7 relatives, 4 of them are ladies and 3 gents; his wife has 7 other relatives, 3 of them are ladies and 4 gents. The number of ways they can invite them to a party of 3 ladies and 3 gents so that the there are 3 of man's relatives...

34Permutations And Combinations

If all the numbers which are greater than 6000 and less than 10000 are formed with the digits, $3,5,6,7,8$ without repetition of the digits, then the difference between the number of odd numbers and the number of even number among them is

35Permutations And Combinations

The number of ways of arranging all the letters of the word 'COMBINATIONS' around a circle so that no two vowels together is

36Permutations And Combinations

The number of diagonals of a polygon is 35 . If $A$ and $B$ are two distinct vertices of this polygon, then the number of all those triangles formed by joining three vertices of the polygon having $A B$ as one of its sides is

37Permutations And Combinations

A student is asked to answer 10 out of 13 questions in an examination such that he must answer atleast four questions from the first five questions. Then, the total number of possible choices available to him is

38Permutations And Combinations

There are 10 points in a plane, of which no three points are collinear except 4. Then, the number of distinct triangles that can be formed by joining any three points of these ten points, such that at least one of the vertices of every tria...

39Permutations And Combinations

There are three sections in a question paper, each section containing 4 questions. If a candidate has to answer only 5 questions from this paper without leaving any section, then the number of ways in which a candidate can make the choice o...

40Permutations And Combinations

The number of odd numbers greater than 600000 that can be formed by using the digits $3,6,7,8,9,0$ without repetition is

41Permutations And Combinations

The number of ways in which 6 men and 4 women can be seated around a table, so that a particular man and a particular woman never sit adjacent to each other is

42Permutations And Combinations

The number of ways in which $n$ boys and $n$ girls can be arranged in a row such that all the boys are together and all the girls are also together is equal to

43Permutations And Combinations

Among the positive divisors of the number 12600 , if $n_1$ is the number of divisors which are multiples of 3 and $n_2$ is the number of divisors which are multiples of 14 , then $n_1+n_2=$

44Permutations And Combinations

If $n, r$ are two positive integers such that $1 \leq r

45Permutations And Combinations

The total number of ways of forming a committee of 5 members out of 7 Indians, 6 Americans, 5 Russians and 4 Australians, so that every committee contains atleast one member from each country is

46Permutations And Combinations

All the letters of the word 'INDEED' are taken and permuted in all possible ways to form distinct 6 letter strings (words with or without meaning). If they are listed in dictionary order, then the rank position of the string 'NIDDEE' is

47Permutations And Combinations

All possible 5-digit numbers each having 5 distinct digits are formed using the digits $1,2,3,5,6,8$. Among them, the number of numbers which are divisible by 3 but not by 6 is

48Permutations And Combinations

The number of four digit numbers that can be formed using the digits $1,2,3,4,5,6$ and 7 which are divisible by 4 , when the repetition of any digit is not allowed,

49Permutations And Combinations

The number of all four digit numbers that can be formed with the digits $0,1,2,3,4,5$ when the repetition of the digits is not allowed, is

50Permutations And Combinations

The number of ways of arranging all the letters of the word "SUNITHA" so that the vowels always occupy the first, middle and last places is