There are 5 magazines and 4 fiction books. In how many ways can 4 magazines and 2 fiction can be arranged on a shelf? Options.
A) 21400 B) 21500 C) 21600 D) 21700 E) None
4 magazines can be selected out of 5 in 5C4 ways. 2 fiction can be selected out of4 in 4C2 ways. Number of ways of arranging magazines and fiction: = 5C4*4C2 =30 After selecting any 6 books (4 magazines and 2 fiction) in one of the 30 ways, they can be arranged on the shelf in 6!=720 ways. By the 21600ounting Principle, the total number of arrangements =30*720= 
<gadget id="calculator">30*720</gadget>
<output>21_600</output>
21600   Answer 21600
<result>C</result>
There are 5 magazines and 4 fiction books. In how many ways can 4 magazines and 2 fiction can be arranged on a shelf?