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India Pre-Regional Mathematical Olympiad
2019 India PRMO
17
Combinatorics / Multinomial
Combinatorics / Multinomial
Source:
August 11, 2019
combinatorics
multinomials
Problem Statement
How many ordered triplets
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers such that
30
a
+
50
b
+
70
c
≤
343
30a + 50b + 70c \leq 343
30
a
+
50
b
+
70
c
≤
343
.
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