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India Contests
Regional Mathematical Olympiad
2003 India Regional Mathematical Olympiad
4
4
Part of
2003 India Regional Mathematical Olympiad
Problems
(1)
Find the no of triples
Source: Indian RMO 2003 Problem 4
10/27/2005
Find the number of ordered triples
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
of non-negative integers satisfying (i)
x
≤
y
≤
z
x \leq y \leq z
x
≤
y
≤
z
(ii)
x
+
y
+
z
≤
100.
x + y + z \leq 100.
x
+
y
+
z
≤
100.
function
floor function
inequalities
algebra
combinatorics