mathmath333
  • mathmath333
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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SOLVED
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schrodinger
  • schrodinger
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{ Amartya Banerjee has forgotten the telephone number }\hspace{.33em}\\~\\ & \normalsize \text{ of his best friend Abhijit Roy. All he remembers is that }\hspace{.33em}\\~\\ & \normalsize \text{ the number had 8-digits and ended with an odd number }\hspace{.33em}\\~\\ & \normalsize \text{ and had exactly one nine . How many possible numbers}\hspace{.33em}\\~\\ & \normalsize \text{ does Amartya have to try to be sure that he gets}\hspace{.33em}\\~\\ & \normalsize \text{ correct number ?}\hspace{.33em}\\~\\ & a.)\ 104\cdot 9^{5} \hspace{.33em}\\~\\ & b.)\ 113\cdot 9^{5} \hspace{.33em}\\~\\ & c.)\ 300\cdot 9^{5} \hspace{.33em}\\~\\ & d.)\ 764\cdot 9^{5}\cdot 6! \hspace{.33em}\\~\\ \end{align}}\)
imqwerty
  • imqwerty
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|
anonymous
  • anonymous
i think you can use the number more than once in each cell...

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

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