Anagrams
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.
