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Problem
Problem
Let
n
1
<
n
2
<
n
3
<
n
4
<
n
5
n_1 < n_2 < n_3 < n_4 < n_5
n
1
<
n
2
<
n
3
<
n
4
<
n
5
be positive integers such that
n
1
+
n
2
+
n
3
+
n
4
+
n
5
=
20
n_1 + n_2 + n_3 + n_4 + n_5 = 20
n
1
+
n
2
+
n
3
+
n
4
+
n
5
=
20
. Find the number of such distinct arrangements
(
n
1
,
n
2
,
n
3
,
n
4
,
n
5
)
(n_1, n_2, n_3, n_4, n_5)
(
n
1
,
n
2
,
n
3
,
n
4
,
n
5
)
.
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