Answered

A PE class has 12 students, 6 girls and 6 boys. The coach has 4 jerseys in each of 3 colors to mark 3 teams for a soccer tournament. If the coach wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys

Answer :

Answer: There are 810 ways to give out the jerseys.

Step-by-step explanation:

Since we have given that

Total number of students = 12

Number of girls = 6

Number of boys = 6

Number of jerseys = 4

According to question,The coach has 4 jerseys in each of 3 colors to mark 3 teams for a soccer tournament.

And If the coach wants at least one girl and at least one boy on each team

So, number of ways he can give out the jerseys is given by

[tex](^6C_1\times ^6C_3+^6C_2\times ^6C_2+^6C_3\times ^6C_1)\times ^3C1\\\\=810[/tex]

Hence, there are 810 ways to give out the jerseys.

Other Questions