Find the number of ways the 3 colored balls can be placed on vertices of a polygon without same color being adjacent and considered up to symmetry
126583
Coloring points on an n-gon
63379
Enumerate non-isomorphic graphs on n vertices
35648
How many permutations of the set n={1,2,3,3,3,4,4,5} are possible without any consecutive identical elements?
16016
Coloring dodecahedron
98313
Number of possible permutations of n1 1's, n2 2's, n3 3's, n4 4's such that no two adjacent elements are same?
79777
An olympiad Geometry problem involving triangles
91229
Complexity of counting the number of triangles of a graph
113953
Circular permutations with indistinguishable objects
62518
How many rectangles or triangles.
36883
How many different ways of putting circles on $OX$.
110723
Catalan numbers and triangulation
111324
Finding number of relations on a set with 3 elements
81003
Given 5 arbitrary points in the plane from which no 3 are collinear, prove that you can always choose 3 that are vertices of obtuse triangle.
99593
Determine the number of ways to colour a 1 by n grid using the colours red and white if an even number of squares are to be coloured red.
129935
Coloring problem with equilateral triangles
8173
Number of ways to choose $n$ balls from $3n$ balls, distinguishable/indistinguishable.
42270
Combinatorics - Painting the Unit Squares of a 3x3 Square