In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?	Choose the correct choice from the following choices.
A) 4586
B) 5896
C) 2415
D) 1771
E) 1881
In order that two books on Hindi are never together, we must place all these books as under:   H E H E H E H….. H E H   Where H denotes the position of Hindi book and E that of English book.   Since there are 22 books on English, the number of places marked E are 23.   Now, 20 places out of 23 can be chosen in 23C20 = 23C3 = 23*22*21   3*2*1   = 1771 ways.   Hence the number of ways = 1771 ways   ANSWER:1771
<result>D</result>
In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?