Twelve animals of a circus has to be placed inside in twelve cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Pick one:  A) A.604800  B) B.808250  C) C.502450  D) D.784200  E) E.4838400
ways for cages that are too small = 5*4*3*2= 
<gadget id="calculator">5*4*3*2</gadget>
<output>120</output>
120   since we have 8 cages and 8 animal left therefore ways for 8 cages=8!   total ways =120*8!=4838400   Answer E.4838400
<result>E</result>
Twelve animals of a circus has to be placed inside in twelve cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.