How many different words can be formed with the letters of the word lsquo BHARAT rsquo In how many o...........

Quantitative Aptitude ( CCS) Permutation & Combination

How many different words can be formed with the letters of the word ‘BHARAT’? In how many of these B and H are never together?

240, 180

360, 240

320, 200

380, 260

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Explanation:

There are 6 letters in the given word, out of which 2 are idential.
Hence, total number of words with these letters = 6!/2! = 360
Also, the number of words in which B and H come together = 5!.2!/2! = 120
Thus, the required number of words = 360-120=240