## mathmath333 one year ago Counting Problem

1. mathmath333

\large \color{black}{\begin{align} & \normalsize \text{Find the number of words with or without meaning which can be made } \hspace{.33em}\\~\\ & \normalsize \text{using all the letters of the word AGAIN. If these words are written as } \hspace{.33em}\\~\\ & \normalsize \text{as in a dictionary, what will be the 50th word?} \hspace{.33em}\\~\\ \end{align}}

2. freckles

hmmm we know there will by 5!/2! words aka 60 words so now we got to figure out I guess how many words start with a, how many with g, how many with i, and then last how many with n

3. mathmath333

yes

4. mathmath333

dictionary operates in alphabetical order

5. ganeshie8

I think it would be easy to count from the last page (60th word)

6. ganeshie8

or in reverse alphabetical order..

7. mathmath333

i still dont understand how to find 50th word

8. ganeshie8

First notice that finding 50th word in alphabetical order is same as finding 11th word in reverse alphabetical order

9. mathmath333

yes i get that

10. ganeshie8

whats the first word in reverse alphabetical order ?

11. mathmath333

\large \color{black}{\begin{align} sleek-feathered oneA\hspace{.33em}\\~\\ \end{align}}

12. mathmath333

lol \large \color{black}{\begin{align} \text{sleek-feathered oneA}\hspace{.33em}\\~\\ \end{align}}

13. ganeshie8

openstudy doesn't like sleek-feathered oneA try putting spaces between letters..

14. mathmath333

openstudy is misunderstanding my word hmm

15. mathmath333

\large \color{black}{\begin{align} \text{N_I_G_A_A}\hspace{.33em}\\~\\ \end{align}}

16. ganeshie8

Right, Fix first letter. Forget about first letter. How many words can you make with the remaining four letters ?

17. mathmath333

4!/2!=12

18. ganeshie8

Yes, whats the 12th word ?

19. mathmath333

\large \color{black}{\begin{align} \text{N_A_A_G_I}\hspace{.33em}\\~\\ \end{align}}

20. ganeshie8

Yes, whats the 11th word ?

21. mathmath333

\large \color{black}{\begin{align} \text{N_A_A_I_G}\hspace{.33em}\\~\\ \end{align}}

22. mathmath333

is it correct

23. ganeshie8

Yep! thats the 11th word in reverse alphabetical order

24. ganeshie8

As discussed earlier, that will be the 50th word in alphabetical order

25. mathmath333

yep thnkz

26. mathmath333

by the what is this file about , i get it with an error page http://assets.openstudy.com/updates/1235123123/file-name.thing

27. ganeshie8

looks the requested file either doesnt exist or you don't have permissions to access that file