Why can we say that $$n! = 1 \cdot 2 \cdot 3 \cdot ...\cdot \frac{n}{2} \cdot..\cdot n$$
I understand that $$5! = 5\cdot4\cdot3\cdot2\cdot1$$ but how can a $$\frac{n}{2}$$ appear when we say $$n!$$
Why can we say that $$n! = 1 \cdot 2 \cdot 3 \cdot ...\cdot \frac{n}{2} \cdot..\cdot n$$
I understand that $$5! = 5\cdot4\cdot3\cdot2\cdot1$$ but how can a $$\frac{n}{2}$$ appear when we say $$n!$$
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