Recent questions in Discrete Mathematics

2 votes
2 answers
5161
State whether the following statements are TRUE or FALSE:Every infinite cyclic group is isomorphic to the infinite cyclic group of integers under addition.
4 votes
1 answer
5162
State whether the following statement is TRUE or FALSE:There is a linear-time algorithm for testing the planarity of finite graphs.
22 votes
4 answers
5163
State whether the following statements are TRUE or FALSE:The union of two equivalence relations is also an equivalence relation.
2 votes
1 answer
5164
when ∀xP(x) Q(x) is givendoes it mean (∀xP(x)) Q(x) or it means ∀x(P(x) Q(x))?in short precedence of quantifiers is greater or implies is greater?
1 votes
1 answer
5165
There are 10 bacteria in a flask. Every hour 3 bacteria die and the remaining ones are each divided into 2 after 1 day, how many bacteria will live there?Assume that the ...
3 votes
1 answer
5166
In a country, there are coins of denominations ${$2}$, ${$3}$ and ${$7}$. How many different ways are there to pay exactly ${$10}$ ?
3 votes
2 answers
5167
A palindrome is a string whose reversal is identical to the string. How many bit strings of length n are palindromes? 2⌈n⁄2⌉ 2(⌊ n/2⌋ ) 2⌈n⁄2⌉ -1 2(�...
5 votes
2 answers
5168
In how many ways can seven different jobs be assigned to 4 different employees so that each employee is assigned at least one job and the most difficult job is assigned t...
1 votes
1 answer
5169
1 votes
1 answer
5170
2 votes
1 answer
5171
Which additional properties are true if a partial order must become linear order
1 votes
1 answer
5172
1 votes
1 answer
5173
0 votes
0 answers
5174
5 votes
2 answers
5177
Q: The number of surjective functions f from A = { 1 , 2 , 3 , 4 , 5 , 6 } to B = { 1 , 2 , 3 , 4 , 5 } for which f(6) = 3 is ......?
2 votes
0 answers
5178
Let a,b,c,d are 4 consecutive numbers of Fibonacci series. Prove or dis-approve ad-bc= ±1 Now my question is can we prove it by induction?
1 votes
1 answer
5180
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