In how many different ways can letters of the word "DAILY" be arranged?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 120
DAILY has 5 letters, all different, and \(n\) different objects can be arranged in \(n!\) ways: the first place can be filled by any of the 5 letters, the second by any of the remaining 4, and so on down to the last place, which takes the one letter left.
Number of arrangements: \(5!=5\times4\times3\times2\times1=120\)