In how many different ways can the letters of the word ‘Bakery’ be arranged?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 720
The word BAKERY has 6 letters, all different. Different letters can be arranged in \(n!\) ways: the first place can take any of the 6 letters, the next any of the remaining 5, and so on down to the last place, which takes the one letter left.
Number of arrangements \(=6!=6\times5\times4\times3\times2\times1=720\)
No letter repeats in BAKERY, so nothing has to be divided out; a word with a repeated letter would need division by the arrangements of the repeated letters.