Q. A committee of seven students is formed selecting from 6 boys and 5 girls such that majority are from boys. How many different committees can be formed? Share with your friends Share 0 Shruti Tyagi answered this Dear Student, We need to select 7 students from 6 boys and 5 girlsalso the number of boys should always be greater than number of girls.Below are the possible combinations.1) 6 Boys and 1 girl2) 5 Boys and 2 girl3) 4 Boys and 3 girlneglecting other cases like1) 3 Boys and 4 girl as number of boys is less than girls.Number of such committesC66×C15+C56×C25+C46×C35⇒1×5+6×5×42+6×52×5×42⇒5+6×10+15×10⇒5+60+150⇒215 Regards, 3 View Full Answer
