Eleven animals of a circus has to be placed inside in eleven 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. Answers
A) 604800
B) 808250
C) 502450
D) 784200
E) 302400
first we will fill the smaller cages-   these 4 cages will require to be filled by 11-6= 
<gadget id="calculator">11-6</gadget>
<output>5</output>
5 animals=&gt; 5C4∗4!=120.   remaining 6 and 1 out of the above 5 can be filled in7∗6∗5∗4∗3∗2=5040   total ways = 120∗5040=604800   604800NSWER:604800
<result>A</result>
Eleven animals of a circus has to be placed inside in eleven 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.