In how many different ways can the letters of the word PRESENT be arranged?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2520
PRESENT has 7 letters in which E occurs twice and the others once. If the two E’s were different, 7 letters could be arranged in \(7!\) ways; but swapping the two E’s gives the same word, so every word is counted twice and the count is divided by 2! for the repeated E.
Arrangements of 7 different letters: \(7!=5040\)
Dividing by \(2!=2\) for the two E’s: \(\displaystyle\frac{5040}{2}=2520\)