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mathmath333

  • one year ago

How many natural numbers not more than 4300 can be formed with the digits 0,1,2,3,4 (if repetitions are allowed)

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  1. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} & \normalsize \text{ How many natural numbers not more than 4300}\hspace{.33em}\\~\\ & \normalsize \text{ can be formed with the digits 0,1,2,3,4}\hspace{.33em}\\~\\ & \normalsize \text{ (if repetitions are allowed)}\hspace{.33em}\\~\\ & a.)\ 574 \hspace{.33em}\\~\\ & b.)\ 570 \hspace{.33em}\\~\\ & c.)\ 575 \hspace{.33em}\\~\\ & d.)\ 569 \hspace{.33em}\\~\\ \end{align}}\)

  2. mathmate
    • one year ago
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    Using regex notation and abbreviating [01234] as [] Note: [01234] means choose one digit out of {0,1,2,3,4} [0123][][][] = 4*5^3 -[0][0][0][0] = -1 [4][012][[][] = 1*3*5^2 [4][0][0][0] = 1 total = 500-1+75+1=575 (if natural number defined as {1,2,3,4.....}]

  3. mathmate
    • one year ago
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    *[4][3][0][0] = 1

  4. mathmath333
    • one year ago
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    i m not getting this notation

  5. mathmath333
    • one year ago
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    \(\large \color{black}{\begin{align} & 5^{4}-1-(2\times 5^{2} -1)=575 \hspace{.33em}\\~\\ \end{align}}\)

  6. mathmate
    • one year ago
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    Yes, you can do that too!

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