Exam 5: Possibilities and Probabilities

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A new campus project requires a committee of 5 students which will include 2 seniors and 3 juniors. There are 6 available seniors and 8 available juniors. -In how many ways can the committee be chosen from the available students if there are no restrictions on the number of juniors or seniors on the committee?

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A new campus project requires a committee of 5 students which will include 2 seniors and 3 juniors. There are 6 available seniors and 8 available juniors. -In how many ways can the juniors be chosen for the committee?

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A student can play 0,1 , or 2 hours of racquetball on any given night. Construct a tree diagram to determine the number of ways that in three nights he can play for a total of four hours.

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