Difference between revisions of "2010 UNCO Math Contest II Problems/Problem 11"
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== Solution == | == Solution == | ||
+ | (a) <math>6</math> (b) <math>20</math> (c) <math>50</math> (d) <math>1\cdot n^2 + 2\cdot (n-1)^2+3\cdot (n-2)^2 + \cdots + n\cdot 1^2</math> | ||
== See also == | == See also == | ||
− | {{ | + | {{UNCO Math Contest box|year=2010|n=II|num-b=10|after=Last Question}} |
[[Category:Intermediate Combinatorics Problems]] | [[Category:Intermediate Combinatorics Problems]] |
Latest revision as of 02:04, 13 January 2019
Problem
(a) The square grid has dots equally spaced. How many squares (of all sizes) can you make using four of these dots as vertices? Two examples are shown.
(b) How many for a ?
(c) How many for a ?
(d) How many for an grid of dots?
Solution
(a) (b) (c) (d)
See also
2010 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 |