# Mark the correct alternative in the following:The number of words from the letters of the word ‘BHARAT’ in which B and H will never come together, isA. 360B. 240C. 120D. none of these

We have, 6 objects {B}, {H}, {A}, {R}, {A}, {T} and there are 2 A's.

So, the number of words that can be formed out of the letters of the word ‘BHARAT’ is

= 360

The number of words that can be formed out of the letters of the word ‘BHARAT’ is in which {B} and {H} come together is = 5!

= 120.

[considering {BH} as a single object]

Hence, the number of words from the letters of the word ‘BHARAT’ in which B and H will never come together, is = (360 – 120)

= 240.

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