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Three research departments have 10, 9, and 8 members, respectively. Each department is to select a delegate and an alternate to represent the department ata conference. In how many ways can this be done?

Respuesta :

Start by findind in how many ways it can be done for each department using combinations in each way

[tex]\begin{gathered} 10C2=45 \\ 9C2=36 \\ 8C2=28 \end{gathered}[/tex]

then since there is an addition we must multiply each of those posibilities

[tex]45\cdot36\cdot28=45360[/tex]

It can be done in 45360 ways

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