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pls explain this to me

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pls explain this to me

by melon » Tue Feb 14, 2012 6:01 am
A group of 9 people is traveling in two taxis from one destination to another. If the taxis have different passenger capacities, how many different ways can this group divide itself among the two taxis?

(1) The larger of the two taxis can hold no more than 5 people.

(2) The smaller of the two taxis can hold no more than 4 people.
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Source: — Data Sufficiency |
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by Jim@StratusPrep » Tue Feb 14, 2012 6:12 am
This is a combinations problem. Essentially you would add all if the possibilities together for each scenario. Just for an easy one, say one cab held 8 people and the other just 1. There would be 9 possible ways for the group to travel with each person traveling alone. If the first cab could take 7 or 8, you would add the 9 you calculated to the number of options for 7 people in one and 2 in the other. To solve this, you will need the number of possible people in each cab.

1). If the largest cab has 5, they can only travel in groups of 5 and 4. Sufficient
2) even though max for the small cab is 4, they could travel with less if the big cab is large enough. Insufficient

Answer: A
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by melon » Wed Feb 15, 2012 10:21 pm
got it thanks you
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