GRE Question of the Day

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GRE Question of the Day

Answer

  1. 7,893,600 possible combinations

There are 26 letters in the alphabet. Therefore, there are 26 possibilities for the first letter. Because each letter in the password cannot be repeated, there are 25 possibilities for the second letter, 24 for the third, 23 for the fourth, and 22 for the fifth. Multiplying these together results in \(26\cdot 25\cdot 24\cdot 23\cdot 22=7,893,600\) options.

Review the question

A password must comprise exactly five letters and can be made up of any of the letters in the alphabet. Letters cannot be repeated. How many password possibilities are there?

  1. 26
  2. 7,893,600
  3. 11,881,376
  4. 6
  5. 358,800

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by Mometrix Test Preparation | Last Updated: July 3, 2025