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, is
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.