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.
