SOLUTION: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will include only one of the tw

Question 401885: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will include only one of the twin brothers?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will include only one of the twin brothers?



There are 2 twin boys to choose 1 from and 33 non-twins to choose 3 from.

So we can choose the one twin 2C1 ways and the three non-twins 33C3 ways,
so that's

(2C1)(33C3) = (2)(5456) = 10912 ways.

Edwin

RELATED QUESTIONS
A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the (answered by ikleyn)
A teach has to choose a team of 4 from a class of 35. There is a pair of twin brother in... (answered by ewatrrr)
a. A college debate club comprises of 7 boys and 7 girls. For a debate competition a team (answered by stanbon)
A class consists of 20 boys and 25 girls. In how many ways can a selection be done in a... (answered by ewatrrr)
A school's debate club has 9 members. A team of 4 students will be chosen to represent... (answered by ewatrrr)
There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by edjones)
There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by ewatrrr)
There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by ewatrrr)
There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the... (answered by ewatrrr)