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13 Dec 2016, 07:04
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How many different carpool possibilities exist for 12 coworkers from the same neighborhood?
(1) Each of the three cars that will be used for carpooling seats exactly 4 people.
(2) If 2 of the coworkers took the day off, there would be fewer carpool possibilities.
(1) Each of the three cars that will be used for carpooling seats exactly 4 people.
(2) If 2 of the coworkers took the day off, there would be fewer carpool possibilities.
13 Dec 2016, 22:00
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Bunuel
How many different carpool possibilities exist for 12 coworkers from the same neighborhood?
(1) Each of the three cars that will be used for carpooling seats exactly 4 people.
(2) If 2 of the coworkers took the day off, there would be fewer carpool possibilities.
(1) Each of the three cars that will be used for carpooling seats exactly 4 people.
(2) If 2 of the coworkers took the day off, there would be fewer carpool possibilities.
CARPOOL MEANING: an arrangement between people to make a regular journey in a single vehicle, typically with each person taking turns to drive the others.
Once you understand the meaning it is easy to identify the question.
Stat 1: There are three cars with 4 seats...then out of 12 workers...Since there is no restriction on the workers...
in the first car = 12C4 possibilities..
second car = 12C4
third car = 12C4.... Sufficient.
Stat 2: We don't have enough information about the cars here but we have 10 worker information...Hence insufficient.
IMO option A.
18 Apr 2017, 22:24
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I think it should be :
In first car, 12C4
Second car, 8C4
The remaining four people would automatically get the third car.
For each combination of first car, there are 8C4 combinations of second car (and automatic selection for third).
Therefore, total number of car pooling possibilities will be 12C4 * 8C4.
In first car, 12C4
Second car, 8C4
The remaining four people would automatically get the third car.
For each combination of first car, there are 8C4 combinations of second car (and automatic selection for third).
Therefore, total number of car pooling possibilities will be 12C4 * 8C4.
