SOLUTION: 9 people are going on trip in 3 cars that hold 2,4 and 5 passengers respectively, in how many ways is it possible to transport 9 people to location using all 3 cars ?

Algebra ->  Permutations -> SOLUTION: 9 people are going on trip in 3 cars that hold 2,4 and 5 passengers respectively, in how many ways is it possible to transport 9 people to location using all 3 cars ?      Log On


   



Question 363767: 9 people are going on trip in 3 cars that hold 2,4 and 5 passengers respectively, in how many ways is it possible to transport 9 people to location using all 3 cars ?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that the 3 cars are DIFFERENT, then the answer is
. (How? First get 5 out of 9 people, then 2 out of the remaining 4, then 2 out of the remaining 2. After that you have to assign the 3 groups into the 3 different cars.)