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.

Six cards and six envelopes are numbered 1 ,2 , 3, 4 , 5,6 and cards are to be placed in envelopes so that each envelope contains exaxtly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope number 2 . Then the number of ways it cann be done is -

There are 2n guests at a dinner party. Supposing that the master and mistress of the house have fixed seats opposite one another , and that there are two specified guests who must not be placed next to one another. find the number of ways in which the company can be placed.

Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover cards numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is a. 264 b. 265 c. 53 d. 67

Four different letters are written and the corresponding addresses are correctly written on four envelopes . One letter can be replaced in one envelope . Find the numbers of ways so that all the letters are wrongly placed.

In how many ways can a party of 6 men be selected out of 10 Hindus, 8 Muslims, and 6 Christians, if the party consists of atleast one person of each religion? Find the number of ways of selection. (Consider only the religion of the person).

Column I, Column II The number of five-digit numbers having the product o digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)

Three balls marked with 1, 2 and 3 are placed in an urn. One ball is drawn, its number is noted, then the ball is returned to the urn. This process is repeated and then repeated once more. Each ball is equally likely to be drawn on each occasion. If the sum of the number noted is 6, then the probability that the ball numbered with 2 is drawn at all the three occassion, is

In my old almirah for books, has 6 shelves. There are x books in each shelf. I have decided to keep all the books of the old almirah together with 15 new book, in 3 shelves of the new almirah, arranging books equally in 3 shelves. Find the number of books in each shelf of new almirah.

Which one of the following is a wrong statement? 1. Most of the forests have been lost in tropical areas 2. Ozone in upper part of atmosphere is harmful to animals 3. Greenhouse effect is a natural phenomenon 4. Eutrophication is a natural phenomenon in freshwater bodies

A person invites a group of 10 friends at dinner and sits (i) 5 on a round table and 5 on other round table (ii) 4 on one round table 6 on other round table . Find no. of ways in each case in which he can arrange the guest?