A panel for a political forum is made up of 14 people from three parties, all seated in a row. The panel consists of 1 Republican, 6 Green Party members, and 7 Democrats. In how…

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asked Mar 14, 2023 193k views

1 Answer

YON · Answer 1 · 2023-03-19T05:09:34+0000

Given that

A panel for a political forum is made up of 14 people from three parties, all seated in a row.

The panel consists of 1 Republican, 6 Green Party members, and 7 Democrats.

For Republicans, they can be seated in 1 way.

For Green Party with 6 members, they can be arranged in

$2,2,2=3\text{ways}$

While in 7 Democrats, they can be arranged in

$2,2,2,1=4\text{ways}$

Therefore, if two people of the same party are considered identical, they can be arranged in

Hence, they can be arranged in 12 distinct orders.