## mathmath333 one year ago Counting question

1. mathmath333

|dw:1440432029210:dw|

2. mathmath333

\large \color{black}{\begin{align} & \normalsize \text{In how many ways can u place the given colored circles in a circle}\hspace{.33em}\\~\\ \end{align}}

3. SolomonZelman

I don't quite get the Q-:( In how many ways you can place them in a circle?

4. mathmath333

yes this one ^

5. SolomonZelman

i still don't understand what they mean by placing these squares into a circle. Can someone explain to me what is exactly happening?

6. mathmath333

example assume the colored circles are objects \large \color{black}{\begin{align} &\normalsize \text{in how many ways can u place the objects in a circle} \hspace{.33em}\\~\\ \end{align}}

7. mathmath333

do u understand now ?

8. SolomonZelman

All I can tell you is that if you rearrange them in different order, then the number of these rearrangements is going to be equivalent to: $$\large\color{black}{ \displaystyle 8{\rm P}8=\frac{8!}{(8-8)!} =40320 }$$ But I am not sure how much that relates to the question, because I still don't actually understand the case in the question.

9. mathmath333

but did u understand the question

10. mathmath333

imquerty did u understand the question

11. ganeshie8

|dw:1440433304680:dw|

12. ganeshie8

|dw:1440433349497:dw|

13. mathmath333

is the answer $$8!$$

14. mathmath333

it is given 7!

15. SolomonZelman

so i was right then? you are asking about the number of all possible permutations of these objets

16. SolomonZelman

wait, you are saying now the answer is actually 7!, (not 8!) ?

17. mathmath333

book says 7!

18. SolomonZelman

Maybe you are placing 7 of these circles, into the remaining circle, and want to find the number of the permutations of the 7 circles' placement into that remaining circle?

19. SolomonZelman

becuase I don't really see how 8P8 can be equal to 7! must be we missed the correct interpretation of the Q

20. ganeshie8

Are these two considered same ? |dw:1440434077044:dw| |dw:1440434088056:dw|

21. mathmath333

yes i think

22. mathmath333
23. SolomonZelman

ok, fits:)