If everybody at a company is assigned a unique 8-digit id, then 3628800 unique IDs exist.
To find out the number of unique IDs:
Then,
Using formula:
[tex]\begin{aligned}\rightarrow{ }^n P_r=\frac{n !}{n-r !} \\\rightarrow P_9^{10} &=\frac{10 !}{(10-9 !)} \\&=\frac{10 !}{(10-9 !)} \\&=\frac{10 !}{(1 !)} \\&=\frac{10 !}{1} \\&=3628800\end{aligned}[/tex]
Therefore, if everybody at a company is assigned a unique 8-digit id, then 3628800 unique IDs exist.
Know more about a unique ID here:
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The correct question is given below:
Everybody at a company is assigned a unique 9-digit ID. How many unique IDs exist? (note: you should also count the id consisting of all zeros)