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Possible combinations are:

Bike alone

Subway alone

Bus alone

Bike part way and subway the rest

Bike part way and bus the rest

Subway part way and bus the rest

Using all three

This makes 7 possible combinations. Taking different modes of transportation for different portions of the trip would multiply the number of possible combinations according to the number of subway stations and bus stops and their proximity to each other.

Of course this leaves out the obvious possibility - and likelihood - that part of a journey will be on foot, which would yield 4 ways of using one mode of transportation, 6 ways of using two, 4 ways of using three and 1 way of using all four - for a total of 15.

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