In how many different ways can the letters of the word ABSENTEE be arranged?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 6720
When some letters repeat, swapping the identical letters among themselves gives no new word, so the arrangements of all the letters are divided by the factorial of each repeat count.
ABSENTEE has 8 letters, with E three times and every other letter once
Arrangements \(\displaystyle =\frac{8!}{3!}=\frac{40320}{6}=6720\)