The number of three letter words that can be formed with the english alphabet is 26^3. The number of five- letter words that can be formed with the english alphabet is 26^5. How many times more five-letter words can be formed than three letter words?

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Answer:

0.6 times

Step-by-step explanation:

26x3=78/26x5=130                    78/130= 0.6

The number of times more five-letter words can be formed than three letter words is 676 times

Given that,

  • The number of three letter words that can be formed with the english alphabet is 26^3.
  • The number of five- letter words that can be formed with the english alphabet is 26^5.

Based on the above information, the calculation is as follows:

[tex]= 26^5 \div 26^3\\\\= 11881376 \div 17576[/tex]

= 676

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