Question

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A physical education class has 16 students. How many ways are there to create a four-person te
One person leaves the class and the teacher must decide between creating teams of three or te
phrase completes the statement?
The number of possible teams of three is
the number of possible teams of five

Answer 1

The number of possible teams of three is 16! / (3!(16-3)!), and the number of possible teams of five is 16! / (5!(16-5)!).

Step-by-step explanation:

To calculate the number of possible teams of three, we can use the combination formula. The number of ways to choose r elements from a set of n elements is given by nCr = n! / (r!(n-r)!). In this case, there are 16 students to choose from and we want teams of three, so the number of possible teams of three is 16C3 = 16! / (3!(16-3)!).

To calculate the number of possible teams of five, we can use the same formula. The number of possible teams of five is 16C5 = 16! / (5!(16-5)!).

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