Question

an english teacher needs to pick 10 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. he has narrowed down his choices to 4 novels, 7 plays, 4 poetry books, and 5 nonfiction books. if he wants to include all 4 poetry books, how many different reading schedules are possible?

Answer 1

Consider all 4 Poetry books as 1 Poetry book

Thus, we have:

Novels : 4 Nos.

Plays: 7 Nos.

Poetry: 1 No.

Notification books: 5 Nos.

Total books: 17 Nos.

Since we have considered 4 Poetry books as 1 book, number of books selected = 10 - 3 = 7

Number of permutations of 17 books taking 7 at a time is given by:

Now, 4 Poetry books can be permuted in

4! = 24

Thus,

Number of different reading schedules is given by:

98,017,920X 24 = 2,352,430,080

So,

Answer is:

2,352,430,080