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- 1. Case 3: Ordered Sets of n Objects, Not All Different Permutations
- 2. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) Permutations
- 3. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects Permutations
- 4. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A Permutations
- 5. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A Permutations
- 6. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A 2 same A A Permutations
- 7. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A 2 same A A 3 objects Permutations
- 8. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A 2 same A A 3 objects all different A B C A C B B A C B C A C A B C B A Permutations
- 9. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A 2 same A A 3 objects all different A B C A C B B A C B C A C A B C B A Permutations
- 10. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A 2 same A A 3 objects all different A B C A C B B A C B C A C A B C B A 2 same A A B A B A B A A Permutations
- 11. Case 3: Ordered Sets of n Objects, Not All Different (i.e. some of the objects are the same) 2 objects all different A B B A 2 same A A 3 objects all different A B C A C B B A C B C A C A B C B A 2 same A A B A B A B A A 3 same A A A Permutations
- 12. 4 objects
- 13. 4 objects all different A B C D A B D C A C B D A C D B A D B C A D C B B A C D B A D C B C A D B C D A B D A C B D A B C B A D C B D A C A B D C A D B C D B A C D A B D A C B D A B C D C A B D C B A D B A C D B A B
- 14. 4 objects all different A B C D A B D C A C B D A C D B A D B C A D C B B A C D B A D C B C A D B C D A B D A C B D A B C B A D C B D A C A B D C A D B C D B A C D A B D A C B D A B C D C A B D C B A D B A C D B A B
- 15. 4 objects all different A B C D A B D C A C B D A C D B A D B C A D C B B A C D B A D C B C A D B C D A B D A C B D A B 2 same A A B C A A C B A B A C A B C A A C A B A C B A B A A C B A C A B C A A C A A B C A B A C B A A C B A D C B D A C A B D C A D B C D B A C D A B D A C B D A B C D C A B D C B A D B A C D B A B
- 16. 4 objects all different A B C D A B D C A C B D A C D B A D B C A D C B B A C D B A D C B C A D B C D A B D A C B D A B 2 same A A B C A A C B A B A C A B C A A C A B A C B A B A A C B A C A B C A A C A A B C A B A C B A A 3 same A A A B A A B A A B A A B A A A C B A D C B D A C A B D C A D B C D B A C D A B D A C B D A B C D C A B D C B A D B A C D B A B
- 17. 4 objects all different A B C D A B D C A C B D A C D B A D B C A D C B B A C D B A D C B C A D B C D A B D A C B D A B 2 same A A B C A A C B A B A C A B C A A C A B A C B A B A A C B A C A B C A A C A A B C A B A C B A A 3 same A A A B A A B A A B A A B A A A C B A D C B D A C A B D C A D B C D B A C D A B D A C B D A B C D C A B D C B A D B A C D B A B 4 same A A A A
- 18. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are;
- 19. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are;
- 20. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are;
- 21. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are;
- 22. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are; e.g. How many different words can be formed using all of the letters in the word CONNAUGHTON ?
- 23. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are; e.g. How many different words can be formed using all of the letters in the word CONNAUGHTON ?
- 24. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are; e.g. How many different words can be formed using all of the letters in the word CONNAUGHTON ?
- 25. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are; e.g. How many different words can be formed using all of the letters in the word CONNAUGHTON ?
- 26. If we arrange n objects in a line, of which x are alike, the number of ways we could arrange them are; e.g. How many different words can be formed using all of the letters in the word CONNAUGHTON ?
- 27. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible?
- 28. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible?
- 29. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible?
- 30. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible? ( ii ) How many arrangements of the letters in the word ALGEBRAIC are possible if the vowels must occupy the 2 nd , 3 rd , 5 th , and 8 th positions?
- 31. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible? ( ii ) How many arrangements of the letters in the word ALGEBRAIC are possible if the vowels must occupy the 2 nd , 3 rd , 5 th , and 8 th positions?
- 32. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible? ( ii ) How many arrangements of the letters in the word ALGEBRAIC are possible if the vowels must occupy the 2 nd , 3 rd , 5 th , and 8 th positions?
- 33. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible? ( ii ) How many arrangements of the letters in the word ALGEBRAIC are possible if the vowels must occupy the 2 nd , 3 rd , 5 th , and 8 th positions?
- 34. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible? ( ii ) How many arrangements of the letters in the word ALGEBRAIC are possible if the vowels must occupy the 2 nd , 3 rd , 5 th , and 8 th positions?
- 35. The letters A, E, I, O and U are vowels 2001 Extension 1 HSC Q2c) ( i ) How many arrangements of the letters in the word ALGEBRAIC are possible? ( ii ) How many arrangements of the letters in the word ALGEBRAIC are possible if the vowels must occupy the 2 nd , 3 rd , 5 th , and 8 th positions? Exercise 10F; odd

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