Amartya Banerjee has forgotten the telephone number of his best friend Abhijit Roy. All he remembers is that the number had 8-digits and ended with an odd number and had exactly one nine . How many possible numbers does Amartya have to try to be sure that he gets correct number ?

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Amartya Banerjee has forgotten the telephone number of his best friend Abhijit Roy. All he remembers is that the number had 8-digits and ended with an odd number and had exactly one nine . How many possible numbers does Amartya have to try to be sure that he gets correct number ?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\(\large \color{black}{\begin{align} & \normalsize \text{ Amartya Banerjee has forgotten the telephone number }\hspace{.33em}\\~\\ & \normalsize \text{ of his best friend Abhijit Roy. All he remembers is that }\hspace{.33em}\\~\\ & \normalsize \text{ the number had 8-digits and ended with an odd number }\hspace{.33em}\\~\\ & \normalsize \text{ and had exactly one nine . How many possible numbers}\hspace{.33em}\\~\\ & \normalsize \text{ does Amartya have to try to be sure that he gets}\hspace{.33em}\\~\\ & \normalsize \text{ correct number ?}\hspace{.33em}\\~\\ & a.)\ 104\cdot 9^{5} \hspace{.33em}\\~\\ & b.)\ 113\cdot 9^{5} \hspace{.33em}\\~\\ & c.)\ 300\cdot 9^{5} \hspace{.33em}\\~\\ & d.)\ 764\cdot 9^{5}\cdot 6! \hspace{.33em}\\~\\ \end{align}}\)
lets take cases :) case 1- 9 at the end|dw:1443696020352:dw| now 9 at 1st->|dw:1443696142160:dw| now for 9 at 2nd/3rd/4th/5th/6th/7th place-> lets take 9 at 2 |dw:1443696303711:dw|
i think you can use the number more than once in each cell...

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Other answers:

u did consider the numbers to be distinct but the telephone numbers can repeat the digits
oh naww >.< such a grt mistake X.X
but good thought process
lol, where did he go
do u mean the answer is \(\large \color{black}{\begin{align} & 8\times 9^{6}\times 6+8\times 9^{6}+8\times 9^{7} \hspace{.33em}\\~\\ \end{align}}\)
ok so the 1st case wuld be- |dw:1443697084281:dw| 2nd-|dw:1443697152608:dw| 3rd-|dw:1443697267227:dw|
is that in options
yes ^_^ its c
answer is \(\large \color{black}{\begin{align} & 300\times 9^{5}\hspace{.33em}\\~\\ \end{align}}\)
yep! confirmed too!
while correcting it i made 2 mistakes >.< 1st - i forgot that 9 comes only once 2nd-o.o i forgot what the mistake was..
all of them with 9's should be 8
i think
why 8?
nah whoops, i forgot to count for a second
u can fill that place with 9 diff nos :)
yeah haha
brain fade
yea happens >.< silly mistakes are the most annoying things
haha, yep good luck @mathmath333 and good work @imqwerty
:) thanks btw what is the squirrel in ur pfp showin? its hrt? :D
hrt?
❤<-- :)
haha i dunno, when i first came on open study, i thought it would be good to have something funny so people laugh
nah, its a superman squirell
haha
XD u wanted to make ppl laugh :D HAHhahah nice thoughts :)
haha yep! anyway, time for early bed. catchya
c ya ima also leave for class :)

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