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ways to write 2000 as a sum of 3 positive integers
Source: Nordic Mathematical Contest 2000 #1
10/3/2017
In how many ways can the number
2000
2000
2000
be written as a sum of three positive, not necessarily different integers? (Sums like
1
+
2
+
3
1 + 2 + 3
1
+
2
+
3
and
3
+
1
+
2
3 + 1 + 2
3
+
1
+
2
etc. are the same.)
combinatorics
Integers
Sum