MathDB

6

Part of 2002 India IMO Training Camp

Problems(1)

Determine the number of n-tuples of integers

Source: India tst 2002 p6

7/13/2012
Determine the number of nn-tuples of integers (x1,x2,⋯ ,xn)(x_1,x_2,\cdots ,x_n) such that ∣xi∣≤10|x_i| \le 10 for each 1≤i≤n1\le i \le n and ∣xi−xj∣≤10|x_i-x_j| \le 10 for 1≤i,j≤n1 \le i,j \le n.
linear algebramatrixcombinatorics unsolvedcombinatorics