Question

Problem 2: (1 point) Suppose that to send an Internet packet from the east coast of the Uniterd States to the west coast, a packet must go through a major east-coast city (Boston, New York Washington D.C., or Atlanta), a major mid-west city (Chicago, St. Louis, or New Orleans), and a major west-coast city (San Francisco or Los Angeles). How many possible routes are there?

Answer 1

Answer

Internet packet can go through a major east coast city in 4 ways (Boston, NY, Washington DC, Atlanta)

Internet packet can go through a mid west city in 3 ways (Chicago, St. Louis,New Orleans)

Internet packet can go through a major west coast city in 2 ways (SF and LA)

By product rule, total number of possible routes = product of all three different routes

= 4*3*2

= 24 possible routes are there