Question

in how many ways can the letters of Mahabharat be arranged so that B and T are never together

Answer 1

.hara means 4 letters

Answer 2

The no. of ways that mahabaharat can be arranged is $\bold {10 !-\frac{10 !}{2 !}}$

Solution:

The total alphabets of Mahabharat are 10.

The number of ways we can arrange is by taking factorial of the total number of letters in the word.

The number of ways we can arrange the word Mahabharat is 10!  From the given question,  

If the letters B and T are together in the combination such as $\frac{10 !}{2 !}$

But we need to find the ways of arranging the word mahabharat without the letters B and T are together.

So that, the required value would become,

$=10 !-\frac{10 !}{2 !}$