Question

The different words that can be using the letters of the word BHARAT so that these words will be contain B and H never together is

• A. 360
• B. 120
• C. 240
• D. 480

Answer 1

The correct option is C 240

There are 6 letters in the given word, out of which 2 are identical.

Hence, total number of words with these letters = $\frac{6!}{2!}=360$

Also, the number of words in which B and H come together = $\frac{5!.2!}{2!}=120$

Thus, the required number of words = $360-120=240$