A team consists of 6 boys and 4 girls and other has 5 boys and 3 girls. How many single matches can be arranged between the two teams when a boy plays against a boy and a girl plays against a girl?

Explanation

A boy can be selected from the first team in 6 ways, and from the second in 5 ways,



So, number of single matches between the boys of two teams `= 6xx5=30 `


Similarly, the number of single matches between the girls of two teams = `4 times 3 = 12`


So, total number of matches = `30+12= 42.`