Question 174
The fence consists of less than $40$ equally spaced boards. On some of them sits a sparrow, in total $10$ sparrows.
a) Prove that among the pairwise distances between the sparrows there are two equal.
b) Prove that this statement will remain true even if one of the sparrows flies away.
a) Prove that among the pairwise distances between the sparrows there are two equal.
b) Prove that this statement will remain true even if one of the sparrows flies away.