Discrete Math : Subsets and Elements - Let S = {1,2,3,4,5,6,7,8}. Determine:
(a) The number of subsets of S
(b) The number of subsets of S with at most four elements
(c) The number of ordered lists with elements chosen form S (wit ...
Standard Combinatorics - Problem 1)
We have 20 kinds of presents; and we have a large supply of each kind.
We want to give presents to 12 children.
It is not required that every child gets something; but no child can ge ...
Subgroups and indexes - Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is a ...