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6
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70k
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Prove that the set G = (1, 2, 3, 4, 5, 6) is an abelian group under multiplication modulo 7.
discrete mathematics updated 2.1 years ago by sagarkolekar ★ 11k
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R be a relation on set of integers Z defined by R = {(x, y) | x-y is divisible by 3} Show that R is an equivalence relation and describe the equivalence classes.
discrete mathematics updated 2.1 years ago by sagarkolekar ★ 11k
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44k
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Define group, monoid, semigroup.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
2
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38k
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Prove that in a full binary tree with n vertices, the number of pendant vertices is (n+1)/2.
discrete mathematics updated 2.8 years ago by sagarkolekar ★ 11k
6
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36k
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Draw Hasse Diagram of $D_{42}$, Find the complement of each element in $D_{42}$.
discrete mathematics updated 2.3 years ago by sagarkolekar ★ 11k
3
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Let A={1, 2, 3, 4} and R={(1, 2), (2, 3), (3, 4), (2, 1)}. Find the transitive closure using Warshall's algorithm.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
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Find transitive closure using Warshall's Algorithm.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
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30k
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A survey of 500 television watchers produced the following information:
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
2
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28k
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Explain Pigeonhole principle and Extended Pigeonhole Principle. Show that if 7 colors are used to paint 50 bicycles, at least 8 bicycles will be of same color.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
2
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Draw the Hasse Diagram of the following: 1. $D_{105}$ 2. $D_{72}$
discrete mathematics updated 2.8 years ago by sagarkolekar ★ 11k
3
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24k
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Determine the number of edges in a graph with 6 nodes, 2 nodes of degree 4 and 4 nodes of degree 2. Draw two such graphs.
discrete mathematics updated 2.8 years ago by sagarkolekar ★ 11k
2
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1
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23k
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Consider the group G = (1,2,3,4,5,6) under multiplication modulo 7 a) Find multiplication table of G b) find Inverse of every element
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
0
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Draw its Hasse diagram. P(A) is the power set of A.
discrete mathematics updated 2.1 years ago by sagarkolekar ★ 11k
3
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22k
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Find the generating function for the following sequence 1,2,3,4,5,6.........
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
2
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21k
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Draw the Hasse diagram of $D_{60}$. Also find whether it is a lattice.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
1
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1
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21k
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How many vertices are necessary to construct a graph with exactly 6 edges in which each vertex is of degree 2.
discrete mathematics updated 2.8 years ago by sagarkolekar ★ 11k
0
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20k
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How many symmetric and reflexive relations are there on a set with n elements?
discrete mathematics updated 2.9 years ago by sagarkolekar ★ 11k
3
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1
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20k
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Functions f, g, h are defined on a set, X= {1,2,3} as f= {(1,2) (2,3) (3,1)} g = {(1,2} (2,1) {3,3)) h = {(1, 1 ) (2,2) (3,1)} (i) Find fog, g o f are they equal ? (ii) Find fogoh and fohog.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
1
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19k
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Show that if every element in a group is its own inverse, then the group must be abelian.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
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19k
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Let A=(a, b, c). Show that (P{A}, C) is a poset. Draw its Hasse Diagram. P(A) is the power set of A.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
2
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1
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19k
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$6^{n+2}+ 7^{2n+1}$ is divisible by 43.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
0
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18k
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Prove p^ (qVr) and (p^ q)V(p^r) are logically equivalent.
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
2
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1
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16k
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State and explain Pigeonhole principle, extended Pigeonhole principle.How many numbers must be selected from the set{1, 2, 3, 4, 5, 6 }to guarantee that at least one pair of these numbers add up to 7?
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
0
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16k
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Draw the Hasse diagram of the following sets under the partial order relation divides and indicate which are chains. justify your answer.
discrete mathematics updated 2.6 years ago by sagarkolekar ★ 11k
0
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15k
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Let A={1,2,3,4,6}=B, a R b if and only if a is multiple of b. Find R. Find each of the Following (i) R(4) (ii) R(6) (iii) R({2,4,6}).
discrete mathematics updated 2.8 years ago by pedsangini276 • 4.8k
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