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Clever Counting

Clever Counting. Investigation 3. Making Rounds. A. How many paths are there from A to B? How many paths are there from B to C? B. How many paths are there from A to C through B? Explain your reasoning. C. If Rodney has a small locker, how many paths from A to C pass by his locker?

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Clever Counting

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  1. Clever Counting Investigation 3

  2. Making Rounds

  3. A. How many paths are there from A to B? How many paths are there from B to C? B. How many paths are there from A to C through B? Explain your reasoning. C. If Rodney has a small locker, how many paths from A to C pass by his locker? D. If Rodney has a large locker, how many paths from A to C pass by his locker? E. If Rodney has a small locker, what is the probability that the guard will not pass his locker on one of her rounds? F. If Rodney has a large locker, what is the probability that the guard will not pass his locker on one of her rounds?

  4. Networking • A, B, and C are nodes. • A path from node A to node C consists of an edge from node A to node B followed by a edge from node B to node C. Edge C A B Path

  5. This network models the warehouse floor plan because it contains all the important information in a simplified form.

  6. 1 x 8 = 8 paths

  7. 2 x 5 = 10 paths

  8. For each edge that connects nodes A and B, there are 32 ways to complete the path to node C, for a total of 25 x 32 = 800 paths.

  9. You have found the number of paths through several networks. In problem 3.3, you will design networks that satisfy given constraints.

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