In: Advanced Math
You recently acquired books on three different subjects in the following quantities: 6 history books, 5 music books, and 4 photography books.
(a) In how many ways can you arrange the books on a shelf?
(b) In how many ways can you arrange the books on a shelf so they
can be grouped by subject?
(c) In how many ways can they choose 6 books with 2 books per
subject?
(d) In how many ways can they choose 6 books with at least 4
history books?
Solve the discrete mathematics problem above using permutations/combinations. Show all work.