exercise on permutation or arrangement

by shivamtripathi22 | Aug 2, 2023 | Uncategorized | 0 comments

1. In how many ways 15 students can be seated on 20 seats in a row ?

2. In how many ways 5 distinct volume of chemistry and 7 distinct volume of Botany book can be arranged on a bookshelf such that no two chemistry books are together ?

3. In how many ways 15 students can be arranged in a row ?

4. In how many ways 8 prizes from 1ˢᵗ to 8ᵗʰ can be given to a group of 8 students that includes 4 boys & 4 girls. Here a student can get only 1 prize ?

5. In how many ways 12 boys and 10 girls can be arranged in a straight line such that all the girls and all the boys are together?

6. In how many ways 4 pens can be given to 8 students if each student can get any number of prizes ?

7. In how many ways batting order of 11 players can be made out of 15 players ?

8. In how many ways 5 distinct volume of chemistry & 7 distinct volume of chemistry books can be arranged on a bookshelf ?

9. In how many ways 5 distinct volume of chemistry & 7 distinct volume of botany books can be arranged on a bookshelf such that all the botany books are together ?

10. In how many ways 5 distinct volumes of chemistry & 7 distinct volume of botany books can be arranged on a bookshelf such that no two botany books are together ?

11. In how many ways 15 students can be arranged in a row such that x is ahead of y and who in turn is ahead of z?

12.What is the total number of signals that can be made by using 6 flags of different colour when any number of them may be used ?

13. In how many ways batting order of 11 players can be made out of 15 players if Rohit is always selected ?

14. In how many ways 5 distinct volume of chemistry & 7 distinct volume of botany books can be arranged on a bookshelf such that all the chemistry books & all the botany books are together ?

15. In how many ways 15 students can be arranged in a row such that A is always between B and C ?

16. In how many ways 15 student can be arranged in a row such that p is always before q and r is always before s ?

17. In how many ways 15 students can be arranged in a row such that A is always ahead of B ?

18. In how many ways batting order of 11 players can be made out of 15 players
(i). If A & B are always rejected
(ii). If A & B are always rejected but C & D are always selected.
(iii). If two players can only play as wicket keeper.

19. If x is the number of ways in which 5 students can be arranged on 15 chairs in a straight line and y is the number of ways in which 5 students out of 15 students can be arranged on 5 chairs in a straight line. Then what is the relation between x & y ?

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