MathDB

2

Part of 1999 IMC

Problems(2)

IMC 1999 / A2

Source: IMC 1999 day 1 problem 2

7/29/2005
Does there exist a bijective map f:N→Nf:\mathbb{N} \rightarrow \mathbb{N} so that ∑n=1∞f(n)n2\sum^{\infty}_{n=1}\frac{f(n)}{n^2} is finite?
inequalitiesrearrangement inequalityIMCcollege contests
Easy probability

Source: IMC 1999 day 2 problem 2

11/19/2005
We roll a regular 6-sided dice nn times. What is the probabilty that the total number of eyes rolled is a multiple of 5?
probabilityfunctionprobability and stats