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Grid Walking

How many 5 block paths can take you home if walking 2 blocks north then 3 blocks west got you here? This should feel familiar if you're from NYC, Chicago, Barcelona, or Toronto!

Rectangular Grid Walk Warmup

Suppose you want to walk from the corner of 1st St. and 1st Ave. to a coffeeshop on the corner of 2nd St. and 4th Ave. How many different ways can you walk there if you only walk North and East?

Suppose you want to walk from the corner of 1st St. and 1st Ave. to a bookstore on the corner of 3rd St. and 3rd Ave. How many different ways can you walk there if you only walk North and East?

Suppose you want to walk from the corner of 1st St. and 1st Ave. to a pizzeria on the corner of 3rd St. and 4th Ave. How many different ways can you walk there if you only walk North and East?

Suppose you want to walk from the corner of 1st St. and 1st Ave. to a pizzeria on the corner of 3rd St. and 4th Ave. and then to a movie theater on the corner of 4th St. and 5th Ave. How many different ways can you walk to the pizzeria and then to the movie theater if you only walk North and East?

Suppose you want to walk from the corner of 1st St. and 1st Ave. to a bus stop on the corner of 4th St. and 2nd Ave. How many different ways can you walk there if you only walk North and East?

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