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 find the number of the ways of caging all the animals.

m distinct animals of a circus have to be placed in m cages, one in cach cage. If n (< m) cages are too small to accommodate p (n < p < m) animals, then the number of ways of putting the animals into cages are

In a circus there are ten cages for accommodating ten animals Out of these four cages are so small that five out of 10 animals cannot enter into them. In how many ways will it is possible to accommodate ten animals in these cages

Figure 3.1 shows three rings of circles with letters in them. Some of these letters in each ring can from the name of one wool yielding animal. Find the names of these animals.

In a certain zoo, there are 42 animals in one sector, 34 in the second sector and 20 in the third sector. Out ofthis, 24 graze in sector one and also in sector two. 10 graze in sector two and sector three. 12 graze in sector one and sector three. These figures also include four animals grazing in all the three sectors. If all these animals are now transported to another zoo, then find the total number of animals?