Question
Evaluate: $\frac{n !}{r !(n-r) !}$ for
n = 8, r = 6
n = 8, r = 6
$\begin{aligned} \therefore \quad \frac{n !}{r !(n-r) !} & =\frac{8 !}{6 !(8-6) !}=\frac{8 \times 7 \times 6 !}{6 ! 2 !} \\ & =\frac{8 \times 7}{2 !}=\frac{8 \times 7}{1 \times 2}=28\end{aligned}$
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| Elementary events: | $W_1$ | $W_2$ | $W_3$ | $W_4$ | $W_5$ | $W_6$ | $W_7$ |
| $\frac{1}{14}$ | $\frac{2}{14}$ | $\frac{3}{14}$ | $\frac{4}{14}$ | $\frac{5}{14}$ | $\frac{6}{14}$ | $\frac{15}{14}$ |