Question

How many different words can be formed with the letters of the word 'BHARAT'?
In how many of these B and H are never together?

• A. 240, 180
• B. 360, 240
• C. 320, 200
• D. 380, 260

Answer 1

The correct option is B 360, 240

Out of letters in the word 'BHARAT' two letters, that is A's are alike.
$\therefore Numberofpermutation=\frac{6!}{2!}=360$
Number of words in which B and H are never together = Total number of words - number of words in which B and H are together

$=360-\frac{5!}{2!}.2!=360-120=240.$