A retail company needs to set up 5 additional distribution centers that can be located in three cities on the
east coast (Boston, New York, and Washington D.C.), one city in the mid-west (Chicago), and three cities on
the west coast (Seattle, San Francisco and Los Angeles). If the company must have 2 distribution centers on
each coast and 1 in the mid-west, and only one center can be added in each city, in how many ways can the
management allocate the distribution centers?
OE [spoiler]3c2*1*3c2[/spoiler]
I thought (3c2*1*3C2)+(3c3*1*3c1)
whats wrong with my thinking???
east coast (Boston, New York, and Washington D.C.), one city in the mid-west (Chicago), and three cities on
the west coast (Seattle, San Francisco and Los Angeles). If the company must have 2 distribution centers on
each coast and 1 in the mid-west, and only one center can be added in each city, in how many ways can the
management allocate the distribution centers?
OE [spoiler]3c2*1*3c2[/spoiler]
I thought (3c2*1*3C2)+(3c3*1*3c1)
whats wrong with my thinking???
