ELEVEN ANIMALS OF A CIRCUS HAVE TO BE PLACED IN ELEVEN CAGES ONE IN EACH CAGE.IF 4 OF THE CAGES ARE TOO SMALL FOR 6 OF THE ANIMALS ,THEN THE NUMBER OF WAYS OF CAGING THE ANIMALS ARE:a)304800 b)504800 c)604800 d)NONE OF THESE

Five smaller animals can fit in the four cages
so number of ways of choosing = 5C4
now number of permutations = 5C4*4!
now the remaining seven cages have to be filled with seven animals
so number of permutations = 7C7*7!
so total = 5C4*4!*7C7*7! = 604800
Thanks
Bharat Bajaj
IIT Delhi

Approved