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src/algebra/factorial-modulo.md
@@ -18,7 +18,7 @@ n!_{\%p} &=& 1 \cdot 2 \cdot 3 \cdot \ldots \cdot (p-2) \cdot (p-1) \cdot \under
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& &\quad \cdot \ldots \cdot (p-1) \cdot \underbrace{1}\_{p^2} \cdot 1 \cdot 2 \cdot \ldots \cdot (n \bmod p) \pmod{p}
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\end{eqnarray}$$
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-It can be clearly seen that factorial is divided into several blocks of same length expect for the last one.
+It can be clearly seen that factorial is divided into several blocks of same length except for the last one.
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$$\begin{eqnarray}
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n!_{\%p}&=& \underbrace{1 \cdot 2 \cdot 3 \cdot \ldots \cdot (p-2) \cdot (p-1) \cdot 1}\_{1\text{st}} \cdot \underbrace{1 \cdot 2 \cdot 3 \cdot \ldots \cdot (p-2) \cdot (p-1) \cdot 2}\_{2\text{nd}} \cdot \ldots \\\\
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