• # question_answer How many words can be made from the letters of the word BHARAT in which B and H never come together [IIT 1977] A) 360 B) 300 C) 240 D) 120

The total number of words$=\frac{6\ !}{2\ !}=360$. The number of words in which BH come together are $\frac{5\ !}{2\ !}\times 2\ !=120$. Hence required number of ways in which $B$ and $H$ never came together are $360-120=240$.