Permutations and Combinations PYQs - Last 10 Years

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Practice 80 AP EAPCET 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.

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Last 10 Years Permutations and Combinations Questions

Showing 30 of 80 filtered questions.

1Permutations And Combinations

If Set $A$ contains 8 elements, then number of subsets of $A$ which contain at least 6 elements is

2Permutations And Combinations

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

3Permutations And Combinations

The number of ways a committee of 8 members can be formed from a group of 10 men and 8 women such that the committee contains at, most 5 men and atleast 5 women, is

4Permutations And Combinations

The number of different ways of preparing a garland using 6 distinct white roses and 6 distinct red roses such that no two red roses come together, is

5Permutations And Combinations

If the number of diagonals of a regular polygon of $n$ sides is 104 , then $n=$

6Permutations And Combinations

A team of 5 students is to be selected from 12 students. If two particular students are to be included in that team, then the number of ways that such team can be selected is

7Permutations And Combinations

The number of natural numbers less than 10000 which are divisible by 5 and that no digit is repeated in the same number, is

8Permutations And Combinations

The number of non-negative integral solutions of $x_1+x_2+x_3+x_4=10$ is

9Permutations And Combinations

The number of six digit natural numbers that can be formed with the digits $2,3,4,0,5,6,7,8$ is

10Permutations And Combinations

In an examination, the maximum marks for each of three subjects is \(n\) and that for the fourth subject is \(2 n\). The number of ways in which candidates can get \(3 n\) marks is

11Permutations And Combinations

There are 10 points in a plane, out of these 6 are collinear. If \(N\) is the total number of triangles formed by joining these points, then \(N=\)

12Permutations And Combinations

\(\text { If } 10{ }^n C_2=3^{n+1} C_3 \text {, then the value of } n \text { is }\)

13Permutations And Combinations

The total number of permutations of \(n\) different things taken not more than \(r\) at a time, when each thing may be repeated any number of times is

14Permutations And Combinations

A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes?
Notation $$D_n=n!\left(\sum_\limits{i=0}^n ...

15Permutations And Combinations

How many chords can be drawn through 21 points on a circle?

16Permutations And Combinations

If a polygon of \(n\) sides has 560 diagonals, then \(n=\)

17Permutations And Combinations

A natural number \(n\) such that \(n!\) ends in exactly 1000 zeroes is

18Permutations And Combinations

In how many ways can the letters of the word "MULTIPLE" be arranged keeping the position of the vowels fixed?

19Permutations And Combinations

If a set \(A\) has \(m\)-elements and the set \(B\) has \(n\)-elements, then the number of injections from \(A\) to \(B\) is

20Permutations And Combinations

In how many ways can 5 balls be placed in
4 tins if any number of balls can be placed in
any tin?

21Permutations And Combinations

The number of ways in which 3 boys and
2 girls can sit on a bench so that no two boys
are adjacent is

22Permutations And Combinations

The value of \({ }^6 P_4+4 \cdot{ }^6 P_3\) is

23Permutations And Combinations

A set contains 11 elements. The number of subsets of the set which contain at most 5 elements is

24Permutations And Combinations

If the letters of the word REGULATIONS be
arranged in such a way that relative positions
of the letters of the word GULATIONS
remain the same, then the probability that
there are exactly 4 letters between R and E is

25Permutations And Combinations

The number of ways of distributing eight identical rings to three different girls so that every girl gets at least one ring is

26Permutations And Combinations

There are 7 identical white balls and 3 identical black balls. The number of distinguishable arrangements in a row of all the balls, so that no two black balls are adjacent is

27Permutations And Combinations

If a person has 3 coins of different denominations, the number of different sums can be formed is

28Permutations And Combinations

In how many ways can 9 examination papers
be arranged so, that the best and the worst
papers are never together?

29Permutations And Combinations

In how many ways 4 balls can be picked from
6 black and 4 green coloured balls such that
at least one black ball is selected?

30Permutations And Combinations

For \(1 \leq r \leq n, \frac{1}{r+1}\left\{{ }^n P_{r+1}-{ }^{(n-1)} P_{r+1}\right\}\) is equal to