In how many different ways can the word VICTORY be written?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 5040
The word VICTORY has 7 letters, V, I, C, T, O, R, Y, and no letter is repeated, so every way of writing it is an arrangement of 7 different letters in 7 places.
The first place can take any of the 7 letters, the second any of the 6 left, and so on down to 1
Number of ways \(=7!=7\times6\times5\times4\times3\times2\times1=5040\)