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Counting Principle

If a computer can print a line containing all 26 letters of the alphabet in 0.01 seconds, estimate how long it would take to print all possible permutations of the alphabets.

Note by Diksha Verma
4 years, 2 months ago

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All possible permutations of the alphabets would be \(26!\), and since one line could print 26 alphabets, there would be \(\frac {26!}{26}\) lines, and it would be \(25!\), so, it would take \(25! \cdot \frac {1}{100}=\frac {25!}{100}=\frac {24!}{4}\)seconds for the printer to print it Timothy Wong · 4 years, 2 months ago

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\( 26! \times 0.1\) seconds? Vikram Waradpande · 4 years, 2 months ago

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@Vikram Waradpande Which is approxomately 410^24 seconds or 1.2810^14 millenia. Bob Krueger · 4 years, 2 months ago

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@Bob Krueger There should be an asterisk between 4 and 10, and 1.28 and 10. Bob Krueger · 4 years, 2 months ago

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\( 26! \times 0.01 \) seconds Tan Li Xuan · 4 years, 2 months ago

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