2006 UNCO Math Contest II Problems/Problem 11
Problem
Call the figure below a "-tableau" shape. Determine the number of rectangles of all sizes contained within this shape. Note that a square is considered a rectangle, and a rectangle is considered different from a . Express your answer as a binomial coefficient and explain the significance of your expression. Generalize, with proof, to an "-tableau" shape.
Solution
in general
See Also
2006 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Last Question | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |