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Five companies have each sent one representative to a competition to pitch their newest business idea to a group of angel investors. The conference has 5 time slots designated for one representative to present their company's idea.How many different ways can the representatives be ordered to present their ideas?

Sagot :

Let's use the counting principle:

[tex]\begin{gathered} Let: \\ n=number_{\text{ }}slots=5 \\ T=Total_{\text{ }}number_{\text{ }}of_{\text{ }}ways \end{gathered}[/tex]

so:

[tex]T=n\cdot(n-1)\cdot(n-2)...1=n![/tex]

So:

[tex]\begin{gathered} T=5! \\ T=120 \end{gathered}[/tex]

Answer:

120

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