Read and download free pdf of CBSE Class 11 Mathematics Permutation And Combination Worksheet Set B. Download printable Mathematics Class 11 Worksheets in pdf format, CBSE Class 11 Mathematics Chapter 7 Permutations and Combinations Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 11 Assignments and practice them daily to get better marks in tests and exams for Class 11. Free chapter wise worksheets with answers have been designed by Class 11 teachers as per latest examination pattern
Chapter 7 Permutations and Combinations Mathematics Worksheet for Class 11
Class 11 Mathematics students should refer to the following printable worksheet in Pdf in Class 11. This test paper with questions and solutions for Class 11 Mathematics will be very useful for tests and exams and help you to score better marks
Class 11 Mathematics Chapter 7 Permutations and Combinations Worksheet Pdf
PERMUTATIONS AND COMBINATIONS
1. Find r if
(i) 10 Pr+1 . 11 Pr = 30 :11
(Ans: 5)
2. Find n and r if n C r .n C r+1 . n C r+2 = 1: 2 : 3
(Ans: n = 14, r = 4 )
3. How many arrangements can be formed by the letters of the word VOWELS if
(i) there is no restriction (ii) each word begins with S and ends with E (iii) all vowels come together (iv) all consonants come together?
(Ans: 720, 24, 240, 144).
4. How many words can be formed out of the letters of the word OBEDIENCE so that the vowels and consonants occur together?
(Ans: 960)
5. In how many ways can final eleven be selected from 15 cricket players if
(i) there is no restriction (ii) one of them must be included (iii) one of them, who is in bad form, must always be excluded (iv) two of them being leg spinners, one and only one leg spinner must be included?
(Ans: 1365, 1001, 364, 572)
6. A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if (i) they can be of any colour (ii) two must be white and two must be red (iii) they must be of same colour.
(Ans: 360, 150, 20)
7. Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. How many people are there in the room?
(Ans: 12)
8. A party is arranged for 18 people along two sides of a long table with 9 chairs on each side. Four men wish to sit on one particular side and three on the other side. In how many ways can they be seated?
(Ans: 9!9! 5 11C )
9. Find the number of arrangements that can be made from the letters of the word INDEPENDENCE. In how many of these arrangements (i) the words start with P (ii) words start with I and end with P (iii) all the vowels occur together (iv) all the vowelsnever occur together?
(Ans: 1663200, 138600, 12600, 16800, 1646400)
10. There are 18 points in a plane, no three of which are in the same straight line except 5 which are collinear. Find the number of (i) straight lines formed by joining them (ii) triangles formed by joining them.
(Ans: 144, 806)
11. What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these are the cards (i) of the same suit (ii) of the same colour (iii) face cards (iv) two of red and two of black (v) belong to different suits?
(Ans: 270725, 2860, 29900, 495, 105625, 28561)
12. A candidate is required to answer 7 questions out of 12 questions, which are divided into two sections A and B, each containing 6 questions. He is not permitted to attempt more than 5questions from either section. Find the number of different ways of selecting the questions.
(780)
13. How many different words can be formed from the letters of the word GANESHPURI such that
(i) the letter G always occupies the first place (ii) the vowels are always together (iii) all consonants come together (iv) vowels occupy even places.
(Ans: 362880, 120960, 86400, 86400)
14. A boy has 3 library tickets and 8 books of his interest in the library. Of these 8 books, he does not want to borrow Mathematics Part-II unless Part-I is also borrowed. In how many ways can he choose the three books to be borrowed?
(Ans: 41)
15. How many 4-digit numbers divisible by 5 can be formed with the digits 0, 4, 5, 6, 7 if repetition of digits is not allowed?
(Ans: 44)
Please click on below link to download CBSE Class 11 Mathematics Permutation And Combination Worksheet Set B
| CBSE Class 11 Maths Discrete Frequency Distribution Worksheet Set A |
CBSE Class 11 Mathematics Chapter 7 Permutations and Combinations Worksheet
The above practice worksheet for Chapter 7 Permutations and Combinations has been designed as per the current syllabus for Class 11 Mathematics released by CBSE. Students studying in Class 11 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 11 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 11 Mathematics students to get all the latest study material free of cost.
Worksheet for Mathematics CBSE Class 11 Chapter 7 Permutations and Combinations
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Chapter 7 Permutations and Combinations worksheet Mathematics CBSE Class 11
All practice paper sheet given above for Class 11 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 11 can be assured that the answers have been also provided by our teachers for all test paper of Mathematics so that you are able to solve the problems and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 11 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 11 Mathematics students have been given on studiestoday.
Chapter 7 Permutations and Combinations CBSE Class 11 Mathematics Worksheet
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Worksheet for CBSE Mathematics Class 11 Chapter 7 Permutations and Combinations
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