Girls vs Boys#!#Term 2 Special

A committee of 4 boys and 3 girls is chosen from 8 boys and 5 girls. One of the boys is a brother of one of the girls. Probability that both are in the committee is

2 boys and 2 girls are in Room X and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.

A committee of 2 boys and 2 girls is to be slected from 4 boys and 3 girls . In how many ways can this be done ?

Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys respectively.One child is selected at random from each group.Find the chance that the three selected comprise one girl and 2 boys.

Suppose there are 3 groups A,B and C comprising 4 girls,3 boys; 6 girls,7 boys and 3 girls,2 boys,respectively.One child is selected at random from each group.What is the probability that the 3 selected have 2 girls and 1 boy?

The number of ways in which 15 boys and 2 girls can sit in a row such that between the girls at the most 2 boys sit is

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is included

From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be formed. In how many ways can this be done if a particular girl is excluded