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 i

6 large animals can be caged in 7 large cages in  7P6=7! ways. 5 small animals can be caged in remaining 5 cages (4 small + 1 large) in 5! ways. Hence, the number of ways is 7! × 5! = 5040 × 120 = 604800