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A panel for a political forum is made up of 12 people from three parties, all seated in a row. The panel consists of 5 Democrats, 1 Green Party member, and 6
Libertarians. In how many distinct orders can they be seated if two people of the same party are considered identical (not distinct)?

Respuesta :

The number of ways of distinct orders can be seated if two people of the same party are considered identical should be 5,544 ways.

Important information:

  • A panel for a political forum is made up of 12 people from three parties, all seated in a row.
  • The panel consists of 5 Democrats, 1 Green Party member, and 6 Libertarians.

Calculation of no of distinct orders:

[tex]= \frac{12!}{1!5!6!} \\\\= \frac{12\times11\times10\times9\times8\times7\times6!}{6!\times5\times4\times3\times2\times1}\\\\= \frac{12\times11\times10\times9\times8\times7}{5\times4\times3\times2\times1}\\\\= 5,544[/tex]

= 5,544 ways

Learn more about the panel here: https://brainly.com/question/24546489

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