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!

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?

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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?

Excel in math and science

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It's hard to learn from lectures and videos

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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?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

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Our wiki is made for math and science

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examples, and problems from the community.

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Your answer seems reasonable.
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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?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

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including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
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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?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!