Suppose there are four routes from North Point to Boulder Creek, two routes from Boulder Creek to Beaver Dam, two routes from Beaver Dam to Star Lake, and three routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Star Lake Step 2: Choose a route from Star Lake Xto Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. There are choices for step 1, choices for step 2, and (b) How many routes from North Point to Star Lake bypass Beaver Dam? choices for step 3. Thus, the answer is

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The drop down choices are North Point, Boulder Creek, Beaver Dam, and Star Lake

Suppose there are four routes from North Point to Boulder Creek, two routes from Boulder Creek to Beaver Dam, two routes from Beaver Dam to Star Lake, and three routes directly from Boulder
Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.)
(a) How many routes from North Point to Star Lake pass through Beaver Dam?
To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process.
Step 1: Choose a route from North Point to
Star Lake
Step 2: Choose a route from Star Lake
X to Beaver Dam.
Step 3: Choose a route from Beaver Dam to Star Lake.
choices for step 1,
There are
choices for step 2, and
(b) How many routes from North Point to Star Lake bypass Beaver Dam?
choices for step 3. Thus, the answer is
Transcribed Image Text:Suppose there are four routes from North Point to Boulder Creek, two routes from Boulder Creek to Beaver Dam, two routes from Beaver Dam to Star Lake, and three routes directly from Boulder Creek to Star Lake. (Hint: Draw a sketch. Assume each route can pass through a city at most one time.) (a) How many routes from North Point to Star Lake pass through Beaver Dam? To answer this question, think of creating a route from North Point to Star Lake that passes through Beaver Dam as a 3-step process. Step 1: Choose a route from North Point to Star Lake Step 2: Choose a route from Star Lake X to Beaver Dam. Step 3: Choose a route from Beaver Dam to Star Lake. choices for step 1, There are choices for step 2, and (b) How many routes from North Point to Star Lake bypass Beaver Dam? choices for step 3. Thus, the answer is
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