Discrete Math Help Three mathematicians walk into a bar The

Discrete Math Help: Three mathematicians walk into a bar. The bar is empty, meaning all nine bar stools are unoccupied. The first mathematician asks \"I wonder how many ways are there for us to sit on these 9 seats?\" The second says \"C(9,3) = 84\"; the third says \"P(9,3) = 504\". Which answer is correct?

Solution

C(9,3) is only number of ways to select 3 seats but does nto count seating arrangements of 3 mathematicians on the seats.

This is done in 3! ways

Hence, C(9,3)*3!=504 ways

So, P(9,3) is the correct answer.

Discrete Math Help: Three mathematicians walk into a bar. The bar is empty, meaning all nine bar stools are unoccupied. The first mathematician asks \

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