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Question

How many different words can be formed using the letters of the word BHARAT, which begin with B and end with T?


A

24

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B

36

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C

12

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D

15

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Solution

The correct option is C

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


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