Permutations And Combinations Question 119

Question: In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi books are together

Options:

A) 1540

B) 1450

C) 1504

D) 1405

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \bullet E\bullet E\bullet E\bullet ……\bullet E\bullet $ According to condition there are 22 vacant places for Hindi books hence total number of ways are = $ ^{22}C _{19}=1540 $ , {Since books are same}.