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Permutation & Combination

This worksheet contains various problems related to permutations and combinations, including scenarios involving books, seating arrangements, answering questions, entering and exiting a hall, forming numbers and words, and arranging letters. It covers a range of mathematical concepts and applications, providing exercises for students to practice their understanding of the topic. Each question requires the application of combinatorial principles to find the number of possible outcomes.

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sakshamgoel.1703
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13 views1 page

Permutation & Combination

This worksheet contains various problems related to permutations and combinations, including scenarios involving books, seating arrangements, answering questions, entering and exiting a hall, forming numbers and words, and arranging letters. It covers a range of mathematical concepts and applications, providing exercises for students to practice their understanding of the topic. Each question requires the application of combinatorial principles to find the number of possible outcomes.

Uploaded by

sakshamgoel.1703
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Delhi Public School Ghaziabad

Worksheet : Chapter 6
Permutation & Combination

1. There are 5 books on mathematics and 6 books on physics in a book shop , in how many ways can a
student buy (i) a mathematics book and a physics book (ii) either mathematics book or physics book.
2. 4 persons enter a train , where there are 6 vacant seats . In how many ways can they seat themselves .
3. In how many ways can a student answer a set off eight true/false type questions ?
4. A hall has 3 entrance and 4 exit . In how many ways can a man enter and exit from a hall .
5. How many numbers can be formed from the digits 1,2 , 3 , and 9 , if repetition of digits is not allowed
6. A room has 6 doors, in how many ways can a man enter the room through one door and came out
through different door.
7. How many three letter words can be formed using a,,b, ,c,,d,,e
(i) repetition is not allowed (ii) repetition is allowed
8. A gentle man has 6 friends to invite, in how many ways can he send invitation cards to them, if has
three servants to carry cards.
9. Given 7 flags of different colors, in how many ways different signals can be generated. If a signal
require the use of two flags one below the other.
10. How many words (with or without meaning) of three distinct letters of the English alphabets are there?
11. Seven athletes are participating in a race, in how many ways can the first three prizes be won.
12. Three men have 4 coats, 5 waist coats and 6 caps; in how many ways can they wear them.
13. In how many ways 7 pictures can be hung from 5 pictures nails on wall.
14. From among the 36 teachers in a school,one principal and one vice principal are to be appointed, In how
many way can this be done.
15. How many different words can be formed with the letters of the word EQUATION so that
(i) The word begin with E (ii) The word begin E and end N
16. How many words can be formed with the letters of the word’ ORDINATE’ so that vowels occupy odd
place?
17. How many words can be formed from the letters DAUGHTER so that (i) The vowel come together (ii)
The vowels never Come together.
18. In how many ways can the letters of the word ‘INDIA’ be arranged?
19. How many different words can be formed by using all the letters of the word ‘ALLAHABAD’
(i) In how many ways of them Vowels occupy the even place.
(ii) In how many of them both L do not come together.
20. The letter of the following words are written in all possible ways and these words are written out as in
dictionary. Find rank of these words.
(i) RANDOM (ii) SURITI (iii) ZENITH (iv) MATHEMATICS

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