How many different words can be formed using the letters of the word BHARAT, which begin with B and end with T?
12
Since the positions of B and T are fixed, we only need to arrange the remaining letters. i.e. 4 letters, of which 2 are of one type and the remaining 2 are of different type each.
So the number of words
=4!/[2!*1!*1!]
=12