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Mathematics 15 Online
OpenStudy (mathmath333):

Counting Problem

OpenStudy (mathmath333):

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

OpenStudy (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

OpenStudy (mathmath333):

yes

OpenStudy (mathmath333):

dictionary operates in alphabetical order

ganeshie8 (ganeshie8):

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

ganeshie8 (ganeshie8):

or in reverse alphabetical order..

OpenStudy (mathmath333):

i still dont understand how to find 50th word

ganeshie8 (ganeshie8):

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

OpenStudy (mathmath333):

yes i get that

ganeshie8 (ganeshie8):

whats the first word in reverse alphabetical order ?

OpenStudy (mathmath333):

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

OpenStudy (mathmath333):

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

ganeshie8 (ganeshie8):

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

OpenStudy (mathmath333):

openstudy is misunderstanding my word hmm

OpenStudy (mathmath333):

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

ganeshie8 (ganeshie8):

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

OpenStudy (mathmath333):

4!/2!=12

ganeshie8 (ganeshie8):

Yes, whats the 12th word ?

OpenStudy (mathmath333):

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

ganeshie8 (ganeshie8):

Yes, whats the 11th word ?

OpenStudy (mathmath333):

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

OpenStudy (mathmath333):

is it correct

ganeshie8 (ganeshie8):

Yep! thats the 11th word in reverse alphabetical order

ganeshie8 (ganeshie8):

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

OpenStudy (mathmath333):

yep thnkz

OpenStudy (mathmath333):

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

ganeshie8 (ganeshie8):

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

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