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Recent questions tagged discrete-mathematics

2 votes
3 answers
2221
counting
how many number are possible of 4 digits whose sum is 12.
how many number are possible of 4 digits whose sum is 12.
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0 votes
0 answers
2223
self made
Anyone plz help in differentiating "consistency, inconsistency, valid,invalid,tautology, contradiction,arguments,fallacy" ?
Anyone plz help in differentiating "consistency, inconsistency, valid,invalid,tautology, contradiction,arguments,fallacy" ?
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0 votes
1 answer
2225
Kenneth Rosen Edition 6th Exercise 8.2 Question 54 (Page No. 555)
If G is a simple graph with 15 edges and $\bar G$ has 13 edges, how many vertices does G have?
If G is a simple graph with 15 edges and $\bar G$ has 13 edges, how many vertices does G have?
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3 votes
1 answer
2227
Kenneth Rosen Edition 6th Exercise 8.2 Question 43 (Page No. 554)
How many subgraphs possible with at least one vertex for the following two graphs ? (labelled vertices) 1. $K_3$ 2. $W_4$ (total 4 vertices)
How many subgraphs possible with at least one vertex for the following two graphs ? (labelled vertices)1. $K_3$2. $W_4$ (total 4 vertices)
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0 votes
1 answer
2234
Combinatorics
A Sequence of nos. $<1, 2, 3, 4, ..... 10 $> is permuted randomly. What is the probability that all odd nos. appear before all even nos. I am getting $\frac{5! * 5!}{10!}$, is it correct
A Sequence of nos. $<1, 2, 3, 4, ..... 10 $ is permuted randomly. What is the probability that all odd nos. appear before all even nos. I am getting $\frac{5! * 5!}{10!}$...
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0 votes
1 answer
2235
Team selection
A team of 11 needs to be selected from 8 bolwers and 8 batsmen, a random selection is made. What is the probablility that the selected team has more bowlers than bastsmen $?$
A team of 11 needs to be selected from 8 bolwers and 8 batsmen, a random selection is made. What is the probablility that the selected team has more bowlers than bastsmen...
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0 votes
1 answer
2237
Kenneth Rosen Edition 6th Exercise 6.6 Question 26 (Page No. 457)
How many derangements of (1 2 3 4 5 6 ) end with integer 1 2 and 3 in some order ?
How many derangements of (1 2 3 4 5 6 ) end with integer 1 2 and 3 in some order ?
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2 votes
1 answer
2238
Kenneth Rosen Edition 6th Exercise 6.6 Question 3 (Page No. 456)
How many solution does the equation x1+x2+x3=13 have where x1 x2 and x3 are non negative less than 6 ?
How many solution does the equation x1+x2+x3=13 have where x1 x2 and x3 are non negative less than 6 ?
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2 votes
2 answers
2240
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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0 votes
0 answers
2241
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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0 votes
1 answer
2245
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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5 votes
1 answer
2246
Combinatorics
A proffesor writes 40 discrete mathematics true/false question . of the statements in these question 17 are true . if the question can be positioned in any order . then how many diff key are possible ?
A proffesor writes 40 discrete mathematics true/false question . of the statements in these question 17 are true . if the question can be positioned in any order . then h...
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1 votes
2 answers
2250
NET 2015 Paper 2
How many solutions are there for the equation $x+y+z+u=29,\, x\geq 1,y\geq 2,z\geq 3,u\geq 0$ ?
How many solutions are there for the equation $x+y+z+u=29,\, x\geq 1,y\geq 2,z\geq 3,u\geq 0$ ?
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