Math, asked by aritradutta18, 1 year ago

how many ways a set of 7 zeros can be divided in 2 subset?

how many ways a set of 7 zeros can be divided in 3 subset?

Answers

Answered by ankurbadani84
0

Answer:

Step-by-step explanation:

Case 1) 7 zeros can be divided in 2 subset

1. Set 1 - { 0, 0, 0, 0, 0, 0, 0} , Set 2 - {}

2. Set 1 - { 0, 0, 0, 0, 0, 0} , Set 2 - {0 }

3. Set 1 - { 0, 0, 0, 0, 0} , Set 2 - {0, 0}

4. Set 1 - { 0, 0, 0, 0} , Set 2 - {0, 0, 0}

5. Set 1 - { 0, 0, 0} , Set 2 - {0, 0, 0, 0}

6. Set 1 - { 0, 0} , Set 2 - { 0, 0, 0, 0, 0}

7. Set 1 - { 0} , Set 2 - {0, 0, 0, 0, 0, 0}

8. Set 1 - { } , Set 2 - {0, 0, 0, 0, 0, 0, 0}

So, 8 ways a set of 7 zeros can be divided in 2 subset

Case 2) 7 zeros can be divided in 2 subset

All set 3 NULL

1. Set 1 - { 0, 0, 0, 0, 0, 0, 0} , Set 2 - {}, Set 3 {}

2. Set 1 - { 0, 0, 0, 0, 0, 0} , Set 2 - {0 }, Set 3 {}

3. Set 1 - { 0, 0, 0, 0, 0} , Set 2 - {0, 0}, Set 3 {}

4. Set 1 - { 0, 0, 0, 0} , Set 2 - {0, 0, 0}, Set 3 {}

5. Set 1 - { 0, 0, 0} , Set 2 - {0, 0, 0, 0}, Set 3 {}

6. Set 1 - { 0, 0} , Set 2 - { 0, 0, 0, 0, 0}, Set 3 {}

7. Set 1 - { 0} , Set 2 - {0, 0, 0, 0, 0, 0}, Set 3 {}

8. Set 1 - { } , Set 2 - {0, 0, 0, 0, 0, 0, 0}, Set 3 {}

All set 1 NULL

9. Set 3 - { 0, 0, 0, 0, 0, 0, 0} , Set 2 - {}, Set 1 {}

10. Set 3 - { 0, 0, 0, 0, 0, 0} , Set 2 - {0 }, Set 1 {}

11. Set 3 - { 0, 0, 0, 0, 0} , Set 2 - {0, 0}, Set 1 {}

12. Set 3 - { 0, 0, 0, 0} , Set 2 - {0, 0, 0}, Set 1 {}

13. Set 3 - { 0, 0, 0} , Set 2 - {0, 0, 0, 0}, Set 1 {}

14. Set 3 - { 0, 0} , Set 2 - { 0, 0, 0, 0, 0}, Set 1 {}

15. Set 3 - { 0} , Set 2 - {0, 0, 0, 0, 0, 0}, Set 1 {}

All set 2 NULL

16. Set 2 - { 0, 0, 0, 0, 0, 0} , Set 2 - {0 }, Set 3 {}

17. Set 2 - { 0, 0, 0, 0, 0} , Set 2 - {0, 0}, Set 3 {}

18. Set 2 - { 0, 0, 0, 0} , Set 2 - {0, 0, 0}, Set 3 {}

19. Set 2 - { 0, 0, 0} , Set 2 - {0, 0, 0, 0}, Set 3 {}

20. Set 2 - { 0, 0} , Set 2 - { 0, 0, 0, 0, 0}, Set 3 {}

21. Set 2 - { 0} , Set 2 - {0, 0, 0, 0, 0, 0}, Set 3 {}

NO NULL SET

22. Set 1 - { 0, 0, 0, 0, 0} , Set 2 - {0}, Set 3 { 0}

23. Set 1 - { 0, 0, 0, 0} , Set 2 - {0, 0}, Set 3 { 0}

24. Set 1 - { 0, 0, 0} , Set 2 - {0, 0, 0}, Set 3 { 0}

25. Set 1 - { 0, 0} , Set 2 - {0, 0, 0, 0}, Set 3 { 0}

26. Set 1 - { 0} , Set 2 - {0, 0, 0, 0, 0}, Set 3 { 0}

27. Set 1 - { 0, 0, 0, 0} , Set 2 - {0}, Set 3 { 0, 0}

28. Set 1 - { 0, 0, 0} , Set 2 - {0, 0}, Set 3 { 0, 0}

29. Set 1 - { 0, 0} , Set 2 - {0, 0, 0}, Set 3 { 0, 0}

30. Set 1 - { 0} , Set 2 - {0, 0, 0, 0}, Set 3 { 0, 0}

31. Set 1 - { 0, 0, 0} , Set 2 - {0}, Set 3 { 0, 0, 0}

32. Set 1 - { 0, 0} , Set 2 - {0, 0}, Set 3 { 0, 0, 0}

33. Set 1 - { 0} , Set 2 - {0, 0, 0}, Set 3 { 0, 0, 0}

34. Set 1 - { 0, 0} , Set 2 - {0}, Set 3 { 0, 0, 0, 0}

35. Set 1 - { 0} , Set 2 - {0, 0}, Set 3 { 0, 0, 0, 0}

36. Set 1 - { 0} , Set 2 - {0}, Set 3 { 0, 0, 0, 0, 0}

So, 36 ways a set of 7 zeros can be divided in 3 subset

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