A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows? Choose the most appropriate option.
A) 24  B) 72  C) 720  D) 336  E) 420
The left window will have permutations of the 5 fiction books, so the number of possibilities for that window is   permutations = 5! = (5)(4)(3)(2)(1) = 120   The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is   permutations = 3! = (3)(2)(1) = 6   Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 120*6= 
<gadget id="calculator">120*6</gadget>
<output>720</output>
720   Answer: 720.
<result>C</result>
A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?