In how many ways 21 English books and 19Hindi books can be arranged in – InterviewSolution

1.	In how many ways 21 English books and 19Hindi books can be arranged in a row suchthat no two Hindi books are together.
Answer» Let E - Position of English bookLet H - Position of Hindi book.In order to keep Hindi books that are never together, we must place all these books as:H E H E H E H .... H E HSince there are 21 books on English, we can choose 22 places to place 19 Hindi books.22C19=22C3= (22 x 21 x 20)/(3 x 2 x 1) = 1540 ways.

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