Grade 5 problem

Counting · Grade 5

On the checkered map you need to go from point A to point B, taking exactly 4 steps to the right and 3 steps up. How many shortest paths are there?

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  1. Any path consists of seven steps of two types.
  2. Select three positions for steps up among seven positions.
Show the answer and solution

Answer: 35

There are 7 steps in total. It is enough to choose places for three steps upward among seven: there are 35 such options.

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