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Recent questions in Discrete Mathematics

3 votes
2 answers
5251
Logic
Everyone has exactly one best friend Are all three below same? Let B(x, y) to be the statement “y is the best friend of x" $ ∀x∃y(B(x, y) ∧ ∀z((z = y)→¬B(x, z))) $ $ ∀x ∃!y (B(x, y) $ $ ∀x ∃y (B(x, y) ∧ ∀z (B(x, z) → (y = z))) $
Everyone has exactly one best friendAre all three below same?Let B(x, y) to be the statement “y is the best friend of x"$ ∀x∃y(B(x, y) ∧ ∀z((z = y)→¬B(x, z))...
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4 votes
0 answers
5252
Multiplicative inverse
Every real number except zero has a multiplicative inverse Are both the statements same? $ ∀x((x != 0) → ∃y(xy = 1)) $ $ ∀x ∃y ((x != 0) → (xy = 1)) $
Every real number except zero has a multiplicative inverseAre both the statements same?$ ∀x((x != 0) → ∃y(xy = 1)) $$ ∀x ∃y ((x != 0) → (xy = 1)) $
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2 votes
2 answers
5253
Doubt
A $\phi$ (empty) relation on any set $A$ is not reflexive because for every $ a \in A$, $(a, a) \notin \phi$, but $\phi$ is a symmetric as well as transitive relation on $A$, how is that possible $?$
A $\phi$ (empty) relation on any set $A$ is not reflexive because for every $ a \in A$, $(a, a) \notin \phi$, but $\phi$ is a symmetric as well as transitive relation on ...
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2 votes
1 answer
5254
matrix
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2 votes
2 answers
5255
solve this paragrapgh
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0 votes
0 answers
5256
Kenneth Rosen Edition 6th Exercise 5.5 Question 44 b (Page No. 381)
. In how many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter?
. In how many ways can a dozen books be placed on four distinguishable shelvesif no two books are the same, and the positions of the books on the shelves matter?
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2 votes
2 answers
5257
testbook
Which of the above lattice is distributve? a) both iii and iv) b) only iv)
Which of the above lattice is distributve?a) both iii and iv)b) only iv)
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2 votes
2 answers
5258
MADE EASY TEST SERIES
If 2, – 4 are the eigen values of a non­singular matrix A and |A| = ­8, then the eigen values of Adj A are x and –y then the value of x + y is _________. My doubt is x+y = 6 is possible or not ? ans is -6 given by ME.
If 2, – 4 are the eigen values of a non­singular matrix A and |A| = ­8, then theeigen values of Adj A are x and –y then the value of x + y is _________.My doubt is ...
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–1 votes
2 answers
5259
Made easy test maths
If 2, – 4 are the eigen values of a non­singular matrix A and |A| = ­8, then the eigen values of Adj A are x and –y then the value of x + y is _________. My doubt is value of x+y = 6 is possible or not bcoz ans is -6 given by ME.
If 2, – 4 are the eigen values of a non­singular matrix A and |A| = ­8, then theeigen values of Adj A are x and –y then the value of x + y is _________.My doubt is ...
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2 votes
1 answer
5262
........
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1 votes
1 answer
5264
mathematics
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0 votes
1 answer
5265
Random selection
6 numbers are randomly selected between 1 and 100. What is the probability that all are distinct
6 numbers are randomly selected between 1 and 100. What is the probability that all are distinct
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0 votes
0 answers
5266
..
What are Binary Relations ? How many of them possible on a set of N elements ?
What are Binary Relations ?How many of them possible on a set of N elements ?
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0 votes
1 answer
5267
What is largest no of maximal independent set of complete bipartite graph K(4,2)?
What is largest number of maximal independent set of complete bipartite graph K(4,2)? a)2 b)3 c)4 d)6
What is largest number of maximal independent set of complete bipartite graph K(4,2)?a)2b)3c)4d)6
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0 votes
1 answer
5268
General Topic Doubt Set Theory & Algebra: Groups
In the above question my doubt is instead of under multiplication if we change under ADDITION then what is its value?plz someone explain details.
In the above question my doubt is instead of under multiplication if we change under ADDITION then what is its value?plz someone explain details.
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8 votes
1 answer
5270
Groups theory
Let $G:$ be a group. $a^5=e,\quad aba^{-1}=b^2,\quad a,b,\in G$ Then which of the following is an order of $b$? $31$ $32$ $30$ $2$
Let $G:$ be a group.$a^5=e,\quad aba^{-1}=b^2,\quad a,b,\in G$Then which of the following is an order of $b$?$31$$32$$30$$2$
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