There are three families. Family A consists of 2 men, 3 women and 1 child. Family B has 2 men, 1 woman and 3 children. Family C has 4 men, 2 women and 6 children. Daily income of men and women as Rs. `200` and Rs. `150` respectively and children have no income. Using matrix multiplication calculate daily income of each family.

Four persons are to be chosen at random from a group of 3 men, 2 women and 4 children. Find the próbability of selecting:" (i) 1 man, 1 woman and 2 children (ii) exactly 2 children (iii) 2 women

In how many ways a committee of 5 members can be selected from 6 men and 5 women, consisting of 3 men and 2 women?

A committee of 5 person is to be selected from a group of 4 men and 5 women. In how many ways can this be done? How many of these committees would consist of 2 men and 3 women?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. How many of these committees would consist of 1 man and 2 women?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. How many of these committees would consist of 1 man and 2 women?

A firm deals with two kinds of fruit juices-pineapple and the, orange juice. These are mixed and two types of mixtures are obtained which is sold as soft drinks A and B , One tin of A need 4 litres of pineapple juice and 1 litre of orange juice. One tin of B needs 2 litres of pineapple and 3 litres of oranges juice. The firm has only 46 litres of pineapple juice and 24 litres of orange jụice. Each tin of A and B is sold at a profit of Rs. 4 /- and Rs. 3 /-respectively. How many tins of A and B should the firm produce to maximise profiț? Formulate the linear programming problem and solve it graphically.

The order and degree of the differential equation of the family of circles of fixed radius r with centres on the y-axis, are respectively a) 2,2 b) 2,3 c) 1,1 d) 1,2

A survey was conducted among a sample of 10,000 families on the use of mobile phones connections.It was found that 40% families use 'BSNL',20% families use 'Vodafone',10% families use 'Idea',5% families use 'BSNL' and 'Vodafone',3% families use 'Vodafone and Idea',4% families use 'BSNL and Idea' and 2% families use all the three connections.(i)If A,B and C denote the sets of families using 'BSNL',Vodafone and Idea mobile phones connections respectively.Match the following columns X and Y in the table.

The details of the hydrocarbon 'P' are given below. i) There are 3 carbon atoms. ii) The family of compounds with 'P' as a member has a general formula C_(n)H_(2n) iii) The IUPAC name of 'P' is propene. a) Write the condensed formula of the compound b) Write the IUPAC name of the compound which is before 'P' in the homologous series. c) Give the molecular formula of the compound succeeding 'P' in the series.