10!
12!/(5!*7!)The number of ways to arrange nitems is n!, where "!" is the factorial function. The number of ways we can arrange the 12 books is therefore 12!. However, we don't really care what order the first 5 books are in, or what order the last 7 books are in, as long as they're the same books. We therefore divide by the number of ways to arrange 5 books and the number of ways to arrange 7 books.
you can arrange 8 pictures 28 different ways
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you can arrange three beads 9 different ways.
30 ways.
120 ways
8
8! = 40320 ways.
24 ways
There are 30 ways.
362,880 ways
24 ways