Question

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 ?

Answer 1

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

Answer 2

I m also unable to interpret the que

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

oh i see now.

Answer 7

The question's accent was confusing.

Answer 8

(:

Answer 9

164?

Answer 10

yep

Answer 11

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