How many different words can be formed with the letters of the word 'BHARAT'?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 360
The number of arrangements of \(n\) letters in which one letter occurs \(p\) times is \(\frac{n!}{p!}\), because swapping the identical letters gives no new word. BHARAT has 6 letters, with A occurring twice.
Words \(\displaystyle=\frac{6!}{2!}=\frac{720}{2}=360\)