Question

find the exact value of the following expression.
\\(\binom{8}{1}\\)

Explanation:

State the binomial coefficient formula

$$ \binom{n}{k} = \frac{n!}{k!(n-k)!} $$

Substitute the given values

$$
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$$

Calculate the exact value

$$ \binom{8}{1} = \frac{8!}{1!(8-1)!} = \frac{8!}{1! \cdot 7!} = 8 $$

Answer:

8