Task number: 3840

How many anagrams of the word AUTOBUS exist in which the vowel AU does not occur?

  • 1800
  • 2160
  • 4320
  • Solution

    The total number of anagrams is \( \frac{7!}{2} = \frac{5040}2 = 2520 \). The number two in the denominator is for the two occurrences of U.

    Out of them \( 6! = 720 \) contain AU, since AU can be taken as a special vowel.

  • Answer

    The correct answer is a.

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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