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A physical education class has 16 students. How many ways are there to create a four-person team for a game?
One person leaves the class and the teacher must decide between creating teams of three or teams of five. Which phrase completes the statement?
The number of possible teams of three is
the number of possible teams of five.
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Number of 4-person teams from 16 students: C(16,4) = (16·15·14·13)/24 = 1820.
After one leaves (15 students): C(15,3) = 455 and C(15,5) = 3003, so
The number of possible teams of three is less than the number of possible teams of five.
After one leaves (15 students): C(15,3) = 455 and C(15,5) = 3003, so
The number of possible teams of three is less than the number of possible teams of five.
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