The Fifteen Puzzle and $S_n$
115934
What is the parity of permutation in the 15 puzzle?
135351
$C(n,p)$: even or odd?
57644
Lower bounds for ${{2n} \choose {n}}$
10724
Case of the 'mice problem' for $n=3$
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle
148413
Proving $S_n$ is generated by the set $\{(1\text{ }2),(2\text{ }3),\cdots,(n-1\text{ }n)\}$ of $n-1$ transpositions.
40763
Possible orders of permutations of $11$ symbols
96680
Generators of symmetric group $S_n$
26343
Number of certain (0,1)-matrices, Stanley's Enumerative Combinatorics
101751
The number of words that can be made by permuting the letters of _MATHEMATICS_ is
92554
How many lattice paths are there from $(0,0)$ to $(2n,2n)$ that avoids odd points
123710
Find eight elements in $S_6$ that commute with $(12)(34)(56)$
52089
Group of $2n$ elements, $n$ odd, is not simple
103106
Proving that any permutation in $S_n$ can be written as a product of disjoint cycles
19026
What do all the $k$-cycles in $S_n$ generate?
41726
Musical and combinatorial proof
18141
Embedding $S_n$ into $A_{n+2}$