The general manager of a fast-food restaurant chain must select 9 restaurants from 10 for a promotional program. How manydifferent possible ways can this selection be done?It is possible to select the nine restaurants indifferent ways.Х5EHELP

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SOLUTION

To select 9 items from 10, this is can be written as

[tex]^{10}C_9[/tex]

This becomes

[tex]\begin{gathered} ^{10}C_9=\frac{10!}{(10-9)!\times9!} \\ =\frac{10\times9!}{1\times9!} \\ =\frac{10}{1} \\ =10\text{ ways } \end{gathered}[/tex]

Hence, the answer is 10 ways