In how many ways can the elements be divided into 2 groups given A set "a" having 6 elements?
120095
How many ways to split n elements in k groups?
18881
Number of elements of order $7$ in a group
933
How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
114752
Number of permutations of a specific cycle decomposition
6679
Counting number of subsets which contain a specific element
152904
Groups with Same Number Of Elements and Subgroups
42469
Find all groups of order $6$.
2771
A group has odd number of elements iff each element is a square, $a=b^2$.
57954
How many transitive relations on a set of $n$ elements?
26569
Counting binary operations on a set with $n$ elements
52121
Let $G$ be a finite group with $|G|>2$. Prove that ${\rm Aut}(G)$ contains at least two elements.
92772
How many different sets of $6$ different numbers can we construct from $11, 13, 18, 19, 19, 20, 23, 25$?
92968
how many element of order 2 and 5 are there
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?
1409
Proving that the given set has at most $2^{n-1}$ elements
142718
How can I find the smallest set of groups of $n$ elements such that every element is in the same group as every other at least once?
107010
How many elements of order $k$ are in $S_n$?