Let A = {a, b} and let S be the set of all strings of length 5 over A. Let f: S→ Z be defined as follows; f(s) = = the number of times a appears in s, for all s € S. Which of the following statements are true about f? The string 00000 is in S The range of f is {a, b} Of(aabab) = 2 The string aaaaa is in S The range of f is {0, 1, 2, 3, 4, 5}

Q: Given the 5 relations below, select all that are not function. Remark: If A is a set, then A is…

A: Given data:- R= x,y : x ∈ ℤ ∧ y ∈ ℤ ∧ y2 = x .R= x,y : x ∈ Pℤ ∧ y ∈ ℤ ∧ y ∈ x .R= x,y : x ∈ Pℤ ∧ y ∈…

Q: contrapositive and converse of each statement. (a) If all birds fly, and if Tweety is a bird, then…

A:

Q: f: {0, 1}2 → {0, 1}3 f(x) = 0x. %3D What is f(10)? f(10) = Ex: 100 Select all the strings in the…

A:

Q: 3. Let a, b, c, d be real numbers with a < b and c < d. Find a one-to-one correspondence between (a,…

A:

Q: A container contains 35 green tokens, 20 blue tokens, and 3 red tokens. Two tokens are randomly…

A: From the given information, there are 35 green tokens, 20 blue tokens and 3 red tokens. Total number…

Q: A is a finite set such that IP(A)| = 32. What is JAJ? 0 32 05 06 O Not enough information is given…

A:

Q: Example 1.73. The intervals (a, b). (-o, bị, ja, oc) are complete.

A:

Q: 1. Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. a) Find the domain of f: {1, 2, 3, 4, 5} O {2, 4, 6, 9}…

A:

Q: 4. Let W be the set of all words in the English language and let L be the set of letters {A, B,…

A:

Q: Using a decoder and external gates, design the combinational circuit defined by the following two…

A:

Q: If (f +g) € R[a, b] , then (f.9) € R(a, b] (f - 9) € R[a, b] E R[a, b] none of these

A:

Q: Let X and Y denote the sets containing 2 and 20 distinct objects respectively and F denote the set…

A:

Q: Let f and g be following permutations on the set Ng {1, 2, 3, 4, 5, 6, 7, 8}: 1 2 3 4 7 8 1. 2 3 4 5…

A:

Q: Investigate if the following relationship 'is' or 'not' of order a ۲b ⟺ a ≤ b +1, a, b ∈ Z

A: A relation R on a set X is said to be order relation if it satisfies the following conditions,…

Q: The relation R₁ = {(a, b) = N²: alb} symmetric. O True False

A:

Q: A car hire firm has cars which it hires out day by day. The number of demands for a car on each day…

A: Given that: The number of demands for a car on each day is distributed as a Poisson fashion with…

Q: Let S = {2,5, 10, 17, 26, .}. A one to one correspondence f : Zt S which shows that S is countable,…

A:

Q: A = {5,6} B = {5, 7 ,8} S = {n | n >= 3 is an odd integer} A relation R from AxB to S is defined…

A:

Q: Jse a table to express the values of each of these Boolean functions. F(x, y, z) = xy + (xyz)

A:

Q: C. Draw a Venn Diagram showing the number of students in each of the eight sections of the Venn…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next question…

Q: Which of the following sets is linearly independent? * the above set None of these [2 41 the above…

A: All the sets are linearly dependent as shown in step 2 and hence None of these.

Q: define the predicate P(x) ⇔ φx(x) = 1. show that P(x) is not computable

A: Given: The predicate  is defined as , where  is the partial computable function computed by the…

Q: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

A:

Q: let f and g be two bounded read - valu ed functions on the set ASR Showthat sup CPCX) +g X))s…

A:

Q: Let Let R be a relation from A to B defined by Then Select one: O a. O b. O d. A = {0, 1, 2, 3, 4}…

A:

Q: 48

A:

Q: Let A = {1, 2, 3}, B= {4,5,6, 7} If f: A x B → N with f((a, b) = b – a , find the following. a. f…

A:

Q: Simplify the following Boolean function F, together with the don't-care conditions d, and then…

A: 1. f   c,d     00 01 11 10 a,b 00 0 1 1 0   01 0 0 0 0   11 0 0 1 0   10 1 0 0 1 The…

Q: Which of the following sets is linearly independent? * T2 21 3. 81 3 the above set O the above set…

A: For a 2×2 matrix abcd, if detabcd=0, then matrix is linearly dependent, otherwise linearly…

Q: 2² +x-12 a Given f (x) = g (a) = x² +6x+5 x² +3x-18' find (fg) (0)? x2 -1 3 10 10 3 10 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A is a non-empty set. Show that the power set of A is in one to one correspondence with the set of…

A:

Q: Question 11 Given domain of the relation R is {a}. R = {(a, a)} is a reflexive, symmetric and…

A: The domain of relation R is a.

Q: Let X={x=(x1, x2, X3, X4) : Xi E {1,2,3,4,5,6,7,8,9,10,11,12} for i=1,2,3,4 such that x1 < x2 < X3 <…

A: Given:X={x=x1, x2, x3, x4 : xi∈1,2,3,4,5,6,7,8,9,10,11,12for i=1,2,3,4 such that…

Q: For each of the statements below, select all the ones that are true. The domain and codomain of an…

A: Second, Third and Fourth options are true, while first option is false.