Question:
Evaluate:
${ }^{9} \mathrm{P}_{0}$
Solution:
To find: the value of ${ }^{9} \mathrm{P}_{0}$
Formula Used:
Total number of ways in which $\mathrm{n}$ objects can be arranged in $\mathrm{r}$ places (Such that no object is replaced) is given by,
${ }_{n} P_{r}=\frac{n !}{(n-r) !}$
Therefore,
${ }_{9} \mathrm{P}_{0}=\frac{9 !}{(9-0) !}$
${ }^{9} \mathrm{P}_{0}=1$
Thus, the value of ${ }^{9} \mathrm{P}_{0}$ is 1 .
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