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--- b:head_first_statistics:geometric_binomial_and_poisson_distributions [2025/10/13 08:56] – [Binomial Distributions] hkimscil
+++ b:head_first_statistics:geometric_binomial_and_poisson_distributions [2025/10/13 08:59] (current) – [Binomial Distributions] hkimscil
@@ Line 822: / Line 822: @@
 \begin{eqnarray*}
 P(X = r) & = & _{n}C_{r} \cdot p^{r} \cdot q^{n-r} \;\;\; \text{Where,} \\
-_{n}C_{r} & = & \frac {n!}{r!(n-r)!}
+\displaystyle _{n}C_{r} & = & \displaystyle \dfrac {n!}{r!(n-r)!} \\
+\text{c.f.,  } \\
+\displaystyle _{n} P_{r} & = & \displaystyle \dfrac {n!} {(n-r)!} \\
 \end{eqnarray*}
-cf.
+see [[:b:head_first_statistics:permutation_and_combination#what_if_horse_order_doesn_t_matter|Permutation chapter]]
-\begin{eqnarray*}
-\displaystyle ^{n} P_{r} = \displaystyle \dfrac {n!} {(n-r)!} \\
-\end{eqnarray*}