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2761
PREDICATE LOGIC DOUBT
Only Area 51 has Extra-Terresstrials A(x) = x is Area 51 E(x) = x has Extra-Terresstrials Which of the following is correct? (∀x)(A(x) -> E(x)) (∀x)(E(x) -> A(x)) (∀x)(A(x) <-> E(x))
Only Area 51 has Extra-TerresstrialsA(x) = x is Area 51E(x) = x has Extra-TerresstrialsWhich of the following is correct?(∀x)(A(x) - E(x))(∀x)(E(x) - A(x))(∀x)(A(x)...
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2763
Combanotrics
Consider a set {1,2,3.....,10} a pair of distinct number is selected again & again, atleast how many of these pair have same sum?
Consider a set {1,2,3.....,10} a pair of distinct number is selected again & again, atleast how many of these pair have same sum?
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2764
Kenneth Rosen Edition 7 Exercise 8.4 Question 10 (Page No. 549 )
Find the coefficient of $x^9$ in the power series of each of these functions. a) $(x^3+x^5+x^6).(x^3+x^4).(x+x^2+x^3+x^4+⋯)$ b) $(1+x+x^2)^3$
Find the coefficient of $x^9$ in the power series of each of these functions.a) $(x^3+x^5+x^6).(x^3+x^4).(x+x^2+x^3+x^4+⋯)$b) $(1+x+x^2)^3$
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2766
Propositional Logic
Are the following first order logic formulae equivalent?
Are the following first order logic formulae equivalent?
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2767
Combinatorics
no of ways to select 22 people out of 40 people for cricket team of 11 each
no of ways to select 22 people out of 40 people for cricket team of 11 each
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2768
Kenneth Rosen Edition 6th Exercise 6.4 Question 7g (Page No. 440)
Please tell me the approach of solving the question for finding a closed formula for the given generating function:- $x^{2} / (1-x)^{2}$ . Please determine the general approach how to solve
Please tell me the approach of solving the question for finding a closed formula for the given generating function:-$x^{2} / (1-x)^{2}$ . Please determine the general app...
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2769
Permutation and Combination
How many solutions are there to the equation : X1 + X2 + .... + X5 = 21 0 <= X1 <= 3 , 1 <= X2 < 4 , and X3 >= 15 ? Please solve it without using Generating function
How many solutions are there to the equation :X1 + X2 + .... + X5 = 210 <= X1 <= 3 , 1 <= X2 < 4 , and X3 >= 15 ?Please solve it without using Generating function
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2770
General query of Graph Theory
$1)$ Is there any general formula for maximum degree (if possible also minimum degree) of a vertex in a graph G? $2)$ Is there any relationship between indegree and outdegree of a graph?
$1)$ Is there any general formula for maximum degree (if possible also minimum degree) of a vertex in a graph G?$2)$ Is there any relationship between indegree and outdeg...
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2771
Doubt
How many ways 3 consecutive numbers can be chosen from numbers lying between 1-100?
How many ways 3 consecutive numbers can be chosen from numbers lying between 1-100?
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2772
Random variables
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2773
Self-doubt
In discrete,can we use X-OR condition if the question uses ''either-or" or it has to be "either-or but not both"?
In discrete,can we use X-OR condition if the question uses ''either-or" or it has to be "either-or but not both"?
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2775
Limit
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2776
State True or False
1) For undirected graph , number of subgraphs $2^{\binom{n}{2}}$ 2) For directed graph , number of subgraphs $\sum_{i=1}^{n}\binom{n}{i}2^{\binom{n}{2}}$ 3) For n elements, number of subsets $2^{n}$ 4) For n elements number of subrelations $n^{2}$ Are all these declaration correct?
1) For undirected graph , number of subgraphs $2^{\binom{n}{2}}$2) For directed graph , number of subgraphs $\sum_{i=1}^{n}\binom{n}{i}2^{\binom{n}{2}}$3) For n elements,...
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2777
Combination
The number of ways can three 0’s, three 1’s and three 2’s be arranged, so that no three adjacent digits are the same in an arrangement is ________
The number of ways can three 0’s, three 1’s and three 2’s be arranged, so that no three adjacent digits are the same in an arrangement is ________
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1 votes
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2779
graph theory
consider a complete bipartite graph K(3,3) The ratio of total number of possible vertex induced subgraphs to the total number of possible edge induced subgraph in given bipartite graph is x:y . then value of x+y is______.
consider a complete bipartite graph K(3,3)The ratio of total number of possible vertex induced subgraphs to the total number of possible edge induced subgraph in given bi...
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2780
Random variable
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