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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 · 4 years, 2 months ago

$$26! \times 0.1$$ seconds? · 4 years, 2 months ago

Which is approxomately 410^24 seconds or 1.2810^14 millenia. · 4 years, 2 months ago

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

$$26! \times 0.01$$ seconds · 4 years, 2 months ago