Question

there are 8 online songs that you would like to download, but you only have enough money for 3. how many different groups of songs can you buy?

\\{}_{n}c_{r} = \frac{n!}{r!(n-r)!}\\

Explanation:

Identify the parameters

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Apply the combination formula

$$ _{8}C_{3} = \frac{8!}{3!(8-3)!} = \frac{8!}{3! \cdot 5!} $$

Simplify and calculate

$$ _{8}C_{3} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = 56 $$

Answer:

56