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3 years ago

10

Ariel wants to choose 5 players for her basketball team. There are 7 players to choose from. How many different teams can aerial

make?
A. 21
B. 35
C. 42
D. 56

1 answer:

Natali [406]3 years ago

3 0

The <u>correct answer</u> is:

A) 21

Explanation:

This is a combination of 7 objects taken 5 at a time:

$_nC_r=\frac{n!}{r!(n-r)!}$

In our case, n = 7 and r = 5:

$_7C_5=\frac{7!}{5!(7-5)!}=\frac{7!}{5!2!}
\\
\\=\frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{5\times 4\times 3\times 2\times 1\times 2\times 1}
\\
\\=\frac{5040}{240} = 21$

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