Recent questions in Discrete Mathematics

0 votes
0 answers
2821
0 votes
0 answers
2822
0 votes
1 answer
2823
In tree for every pair of vertices u!=v in G their is exactly 1 path from u to v .Please help me to prove this
1 votes
1 answer
2825
In how many ways can 12 different books be parceled into 4 packets so that 3 of the packets contain 3 books each and one of them two books atleast, if all the packets hav...
0 votes
0 answers
2827
There are 100 students. 85 choose Math, 80 choose Physics, 75 choose Chemistry, 70 choose Biology. What is the minimum number of students choosing all 4 subjects? Assume ...
0 votes
1 answer
2828
1. Every complemented lattice is distributed 2. Every Distributed lattice is complemented3.Every Distributive lattice is bounded4 .Every complemented lattice is boundedTr...
1 votes
1 answer
2829
1 votes
0 answers
2831
2 votes
1 answer
2833
Let P ( S ) denotes the power set of the set S, the dual of the lattice ( P(S), ⊆ ) is a) Doesn't’t exist b) ( P(S), ⊆ ) c) ( P(S), ⊇ ) d) ( S,⊇)
1 votes
2 answers
2834
What is the maximum integer value m such that every simple connected graph with r vertices and r+2 edges contains at least m different spanning trees ?1)12)43)84)m
0 votes
1 answer
2835
1) Every group of prime order is Abelien group.2) If (G,*) be a cyclic group of even order ,then there exist atleast one elements other than identity element such that a=...
0 votes
1 answer
2836
Every graph with fewer edge than vertices has component of tree(explain)
0 votes
1 answer
2837
Consider F be a family of all subsets of set {1,2,3,.....100} that contain atleast 50 numbers,partially ordered with respect to containment.Then maximum size of chains in...
1 votes
3 answers
2838
What is the number of partition of X={a,b,c,d,e,f}.where 'a' and 'c' are always in same block?
13 votes
4 answers
2839
Let $R$ be a binary relation on $A = \{a, b, c, d, e, f, g, h\}$ represented by the following two component digraph. Find the smallest integers $m$ and $n$ such that $m <...
0 votes
0 answers
2840
What is meant by s* or any other symbol which has an asterisk in Set Theory?