Puzzle Investigator Sample

PI-10. WAY TO GO!

The map at right shows the streets in Old Town.  Assume Jacqueline is standing at the corner of A and 1^st Streets.  Assume Jacqueline will only walk South or East.  The shaded rectangles represent large buildings.  Assume Jacqueline will not pass through any buildings.

1. 1. The number “3” at the intersection of C and 2^nd Streets means that there are three different ways she can get there from her starting position.  What are those three ways?  Describe them in words.

   2. How many different ways can she walk to the corner of F and 4^th Streets?  

   3. How many different ways can she walk to the corner of D and 5^th Streets?

   4. Explain how you can use your answers to parts (b) and (c) to find the number of ways she can walk to the corner of F and 5^th Streets.  Why does this make sense?

   5. Find the number of different ways she can walk to the corner of I and 8^th Streets.

   6. How could you change the map so that Jacqueline has only 7 ways to get to the corner of D and 3^rd streets?  You can remove blocks or add them.