MathDB
Problems
Contests
National and Regional Contests
Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2013 Saudi Arabia Pre-TST
4.3
4.3
Part of
2013 Saudi Arabia Pre-TST
Problems
(1)
no of permutations of 1,2,..., n with s_i > s_j$ for all i >= j + 3 when n =5, 7
Source: 2013 Saudi Arabia Pre-TST 4.3
9/13/2020
How many permutations
(
s
1
,
s
2
,
.
.
.
,
s
n
)
(s_1, s_2,...,s_n)
(
s
1
,
s
2
,
...
,
s
n
)
of
(
1
,
2
,
.
.
.
,
n
)
(1,2 ,...,n)
(
1
,
2
,
...
,
n
)
are there satisfying the condition
s
i
>
s
j
s_i > s_j
s
i
>
s
j
for all
i
≥
j
+
3
i \ge j + 3
i
≥
j
+
3
when
n
=
5
n = 5
n
=
5
and when
n
=
7
n = 7
n
=
7
?
combinatorics
permutation