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8 people have to give a presentation in class today. How many different orders can theyspeak in?65,5364,09640,32013,440

Sagot :

Answer:

They can speak in 40, 320 different orders

Explanation:

Given that 8 people have to give a presentation in class.

They can speak in many different orders:

First could be second, second could be first, third could be eight, seventh could be fifth, and so on.

This number of ways result in factorial 8.

This is written as:

[tex]8![/tex]

Which represents the multiplications of numbers on the number line from 8 down to 1.

That is:

[tex]\begin{gathered} 8!=8\times7\times6\times5\times4\times3\times2\times1 \\ \\ =40,320 \end{gathered}[/tex]