The Mathsbombe Competition

2024 edition. From the people behind the Alan Turing Cryptography Competition.
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Problem 5

A 5-by-5 pegboard has a single peg in, glued into one of the corners. How many ways can we put two more pegs in the board so that the 3 pegs form a right angled triangle?

Three 5-by-5 grids illustrating the pegboard, the first is empty, the second has three pegs in which form a right triangle, the third has three pegs in which don

To deter guessing without thinking, we ask that you also solve the following simple arithmetic problem before checking your answer:

What is seven plus seven, subtract eight?  

This problem was first solved on Wed 21st February at 4:12:09pm
Mathsbombe Competition 2024 is organised by the The Department of Mathematics at The University of Manchester.
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