from the Australian Intermediate Mathematics Olympiad:

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- Dec 22nd 2007, 04:00 AMdelicate_tearsRandom question
from the Australian Intermediate Mathematics Olympiad:

http://i232.photobucket.com/albums/e...hsquestion.jpg - Dec 23rd 2007, 03:11 AMSoroban
Hello, delicate_tears!

Let = number of 6-, 10-, and 15-passenger taxis, respectively,

. . where: .

We have: .

. . Hence: . .**[1]**

Since is an integer, .

. . Then [1] becomes: .

Since , then: .

It seems that there are: . possible choices.

However, if , then . . . not allowed.

Therefore, there are ways.