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Archive/ Maths

The Shortest Route

Maths / Difficulty Tier 2, Relation. Requires a few ideas, quantities or steps to be connected.
About Tier 2 - Relation

Requires a few ideas, quantities or steps to be connected.

Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.

The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.

The Shortest Route

Combinatorics / Lattice Paths - 4-6 min

On an unobstructed square grid, your destination is four steps right and three steps up from your starting point. A shortest route uses exactly those four right moves and three up moves, in any order. How many distinct shortest routes are there?

Assumptions

There are no blocked streets. Every step has the same length. Routes are distinct when their ordered sequences of moves differ.

Enter your answer as a whole number.

Exact value required.

More Options for The Shortest Route

Collection question · Revision 1 · ID: grid-shortest-paths