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

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can be done?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done?

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?

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.

In an interview for a job in call center 5 boys and 3 girls appeared.If 4 persons are to be selected at random from this group.Find the probability that 3 boys and 1 girl or 1 boy and 3 girls are selected.

How many ways can a team of 5 persons be selected out of a group of 4 men and 7 women, if the team has at least one man and one women?

From a group of 2 boys and 3 girls, two childiren are selected. Find the sample space associated to this random experiment.