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

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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) About Me  (Show Source):
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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