Permutations And Combinations Question 34

Question: How many words can be made from the letters of the word BHARAT in which B and H never come together [IIT 1977]

Options:

A) 360

B) 300

C) 240

D) 120

Show Answer

Answer:

Correct Answer: C

Solution:

  • 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 $ .