Problem 3. How many ways are there to select an 11-member soccer team and a 5-member basketball team from a class of 30 students if (1) nobody can be on both teams. (2) any number of students can be on both the teams. (3) at most one student can be on both the teams.

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Problem 3. How many ways are there to select an 11-member soccer team and a 5-member
basketball team from a class of 30 students if
(1) nobody can be on both teams.
(2) any number of students can be on both the teams.
(3) at most one student can be on both the teams.
Transcribed Image Text:Problem 3. How many ways are there to select an 11-member soccer team and a 5-member basketball team from a class of 30 students if (1) nobody can be on both teams. (2) any number of students can be on both the teams. (3) at most one student can be on both the teams.
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