## permutation and combination questions and answers pdf

then we can arrange them in (n-1)! ways. The first marble can be put into the pockets in 4 ways, so can the second and third.

8).

Explanation: Explanation are given for understanding. 7. Turner's can be arranged in 1!

4).
Of these paintings, 5 are by Picasso, 4 by Monet and 1 by Turner.

Scroll down the page for examples and solutions on how to use the formulas to solve examination word problems. Answer: c. 380

Exercises 5(a), 5(b), 5(c), 5(d) and 5(e) solutions are given. Also, the 3 artists can be arranged in 3! 0606 S12 Paper 11 Question 4. a) Arrangements containing 5 different letters from the word AMPLITUDE are to be made. r!} B 21300 . Additional Maths Paper 1 May/June 2012 (pdf). A 24000 . Explanation: This page is on "Permutation and Combination" which is a important part of Aptitude problems. But if they are to be arranged in a circle,

In how many different ways, can the letters of the word 'ASSASSINATION' be arranged, so that all S are together? So, there are 5C3 Ã 4C1 = 40 selections where both cousins are included. Copyright © 2005, 2020 - OnlineMathLearning.com.

Initially Permutation and Combination problems may seem hard but once you practice online problems and go through the solution which is provided for every Permutation and Combination problem these aptitude problems will not remain that demanding. i) Find the number of ways in which this can be done. Inter maths solutions for Permutations and Combinations Text book exercises solutions for Permutations and Combinations second inter maths IIA.

problem solver below to practice various math topics. 2). 9). There are 12 boys and 8 girls in the class. ii) Find the number of different ways the paintings can be displayed if the paintings by each of the artists are kept together. Find the number of different ways in which
This simply means in how many ways 2 people can be selected out of 12. i) Find the number of different ways the paintings can be displayed if there are no restrictions. 7). selections would have at most one of the cousins. Permutation and combination Questions and answers. So the answer is 12C2, Answer: b. Solution:
Solution:
There are 20 stations. When all the S are taken together, then AS^AS^INATION are letters. b) Tickets for a concert are given out randomly to a class containing 20 students.

= \frac{11!

All 12 boys got tickets, so there is only 1 way to select all the boys.

Thus, the number of ways in which the child can put the marbles. 66 Permutation & Combination - Aptitude Questions and Answers Part 2. ” Most Important Permutation & Combination Question PDF with Answers“

∴ the total is 12C10 Ã 8C5 = 3,696 ways. C 25200 . The remaining 3 tickets go to 3 girls from 8, we have 8C3 = 56 ways. ∴ the total is 6C4 Ã 5C2 = 150 selections.

Monet's can be arranged in 4! 1). D 210 . = 11!, but it is not mentioned that either it is clockwise or anti-clockwise. So, required number of arrangements = \( \large\frac{1}{2}(12 - 1)!

In a meeting between two countries, each country has 12 delegates, all the delegates of one country shakes hands with all delegates of the other country.

Number of arrangements = \( \large\frac{n!}{p! Solved Aptitude questions on permutations and combinations with detailed explanations. Answer: b. No student is given more than one ticket. Selecting 4 seniors from 6, we have 6C4 = 15 selections. b) A committee of 4 senior students and 2 junior students is to be selected from a group of 6 senior students and 5 junior students. These solutions are very easy to understand. An alternative is to work out the number of selections where both cousins are in; then we subtract from the total (from b(i) above) and the remaining

Ã 3!

Solution:
Tip: Since there are 9 different letters, and we pick 5 to be arranged, there are 9P5 = 15,120 permutations. Permutation MCQ Question with Answer Permutation MCQ with detailed explanation for interview, entrance and competitive exams. i) Calculate the number of different committees which can be selected. Solution (i) We consider the arrangements by taking 2 particular children together as one and hence the remaining 4 can be arranged in 4! Since A and E are fixed, there are only 3 other letters to arrange in between them, from the remaining 7 letters (9 letters minus the A and E). We welcome your feedback, comments and questions about this site or page.

Here, we first have to select 10 ladies from 19.

The word 'INHALE' has 6 distinct letters. PERMUTATIONS AND COMBINATIONS 117 Example 4 In how many ways can 5 children be arranged in a line such that (i) two particular children of them are always together (ii) two particular children of them are never together.

If both cousins are included, then we select only 3 other seniors from the remaining 6, and 1 other junior from the remaining 4. Ticket is needed between 2 stops. Total number of handshakes = 12 x 12 = 144. Solution:

A child has four pockets and three marbles. In how many different ways, the letters of the word 'ARMOUR' can be arranged? Solution:
Access the answers to hundreds of Permutation questions that are explained in a way that's easy for you to understand. We can arrange 'n' things in 'n!' ways. In how many ways, the child can put the marbles in the pockets? That means, we simply need to select 2 stops from possible 20 stops.

How many different signals , can be made by 5 flags from 8 flags of different colors?
Solution:
we can work out all the different scenarios: none of the cousins, only the senior cousin included, or only the junior cousin included and add all the selections. Complex numbers 2. Number of arrangements of beads = (12 -1)!

6). One of the 6 senior students is a cousin of one of the 5 junior students. ∴ the total is 8C3 Ã 1 = 56 ways. Chapter 7 Permutations And Combinations Download NCERT Solutions for Class 11 Mathematics (Link of Pdf file is given below at the end of the Questions List) = 1 way. Picasso's paintings can be arranged in 5! }{2} \). = 24 ways. You can also see the solutions for 1. There are 12 celebrities. De Moivre’s theorem 3. ways and

Please submit your feedback or enquiries via our Feedback page. a) An art gallery displays 10 paintings in a row.
View Answer Discuss.

Explanation: In how many different ways, the letters of the word 'BANKING' can be arranged? ∴ the total is 5!

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