## mathmath333 one year ago How many natural numbers are there that are smaller than 10^4 and whose decimal notation consists only of the digits 0,1,2,3 and 5 ,which are not repeated in any of these numbers ?

1. mathmath333

\large \color{black}{\begin{align} & \normalsize \text{ How many natural numbers are there that are smaller than}\hspace{.33em}\\~\\ & \normalsize 10^{4} \ \text{ and whose decimal notation consists only of the }\hspace{.33em}\\~\\ & \normalsize \text{digits }\ 0,1,2,3\ \text{and}\ 5\ \text{,which are not repeated in any of } \hspace{.33em}\\~\\ & \normalsize \text{ these numbers ?}\hspace{.33em}\\~\\ & a.)\ 32 \hspace{.33em}\\~\\ & b.)\ 164 \hspace{.33em}\\~\\ & c.)\ 31 \hspace{.33em}\\~\\ & d.)\ 212 \hspace{.33em}\\~\\ \end{align}}

2. mathmath333

I m also unable to interpret the que

so what we have to do is place given digits to maximum four slots (because a number smaller than $$10^4$$ has 4 digits) and find how many combinations we can make. When doing that we should neglect the occasion where 0 comes as the left most digit also

4. mathmath333

Does this question means how many $$4$$ digit numbers can be made with $$\{0,1,2,3,5\}$$ no repetition allowed

not only 4 digits it could be 3,2 or 1 also since all of them are less than 10^4

6. mathmath333

oh i see now.

7. mathmath333

The question's accent was confusing.

8. imqwerty

(:

9. imqwerty

164?

yep

11. imqwerty

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12. mathmath333

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13. mathmath333

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14. imqwerty

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15. imqwerty

wow thas so kewl ;-;

16. mathmath333

lol

17. imqwerty

i will install win 10 on sunday cause chrome is not wrkin on my laptop :)

18. mathmath333

|dw:1443002409414:dw|

19. imqwerty

lawl

20. imqwerty

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21. mathmath333

haha very creative

22. imqwerty

hahah cx

23. imqwerty

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24. mathmath333

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25. imqwerty

ahahahahah xD

26. mathmath333

that is imquerty ^

27. imqwerty

:o that powerful tiger yes yes :) i agree

28. mathmath333

no lol that boy|dw:1443003328287:dw|

29. imqwerty

lol i dun have that kinda ear nose hair lol haha XD