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National and Regional Contests
Canada Contests
Canadian Open Math Challenge
2018 Canadian Open Math Challenge
B4
2018 COMC B4
2018 COMC B4
Source:
December 6, 2018
Comc
2018 COMC
Problem Statement
Source: 2018 Canadian Open Math Challenge Part B Problem 4 —--Determine the number of
5
5
5
-tuples of integers
(
x
1
,
x
2
,
x
3
,
x
4
,
x
5
)
(x_1,x_2,x_3,x_4,x_5)
(
x
1
,
x
2
,
x
3
,
x
4
,
x
5
)
such that
(a)
\text{(a)}
(a)
x
i
≥
i
x_i\ge i
x
i
≥
i
for
1
≤
i
≤
5
1\le i \le 5
1
≤
i
≤
5
;
(b)
\text{(b)}
(b)
∑
i
=
1
5
x
i
=
25
\sum_{i=1}^5 x_i = 25
∑
i
=
1
5
x
i
=
25
.
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