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Omni-MATH / A beaver walks from (0,0) to (4,4) in the plane, walking one unit in the positive x direction or one unit in the positive y direction at each step. Moreover, he never goes to a poi…

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problem

A beaver walks from (0,0)(0,0) to (4,4)(4,4) in the plane, walking one unit in the positive xx direction or one unit in the positive yy direction at each step. Moreover, he never goes to a point (x,y)(x, y) with y>xy>x. How many different paths can he walk?
Plain-text mathematical notation (without MathML)
A beaver walks from (0,0) to (4,4) in the plane, walking one unit in the positive x direction or one unit in the positive y direction at each step. Moreover, he never goes to a point (x,y) with y>x. How many different paths can he walk?
Original LaTeX notation
A beaver walks from $(0,0)$ to $(4,4)$ in the plane, walking one unit in the positive $x$ direction or one unit in the positive $y$ direction at each step. Moreover, he never goes to a point $(x, y)$ with $y>x$. How many different paths can he walk?

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