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If a librarian picks 5 Calculus books from 7 different Calculus books and 4 different Discrete Math books from 6 different Discrete Math books, how

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If a librarian picks 5 Calculus books from 7 different Calculus books and 4 different Discrete Math books from 6 different Discrete Math books, how many ways he can arrange these 9 books on a shelf such that a Calculus book is at the beginning and a Discrete Math book is in the middle? [Note: each of the Calculus or Discrete Math books is written by different writers]

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