Q. 64.7( 3 Votes )

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

A. 360

B. 240

C. 120

D. none of these

Answer :

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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