2. For arbitrary set B explain why each of the following statements is either true or false. (a) BCP(B) (b) B = P(B) 3. Jimmy St. Udent claimed that P({red, blue}) is equal to {red, blue, {red, blue},0}. Explain why Jimmy is either correct or incorrect.
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- Consider the following two statements: (1) ◊ E A, for all sets A. (2) CA, for all sets A. Which of the following is correct? Both statements are true. Statement (1) is false, and statement (2) is true. Both statements are false. Statement (1) is true, and statement (2) is false.Correct answer will be upvoted else downvoted. Computer science. Positive integer x is called divisor of positive integer y, in case y is distinguishable by x without remaining portion. For instance, 1 is a divisor of 7 and 3 isn't divisor of 8. We gave you an integer d and requested that you track down the littlest positive integer a, to such an extent that a has no less than 4 divisors; contrast between any two divisors of an is essentially d. Input The primary line contains a solitary integer t (1≤t≤3000) — the number of experiments. The primary line of each experiment contains a solitary integer d (1≤d≤10000). Output For each experiment print one integer a — the response for this experiment.Q3: For each of the following functions, indicate the class O(g(n)) the function belongs to. (Use the simplest g(n) possible in your answers.) Prove your assertions. a. (n² + 1)10 b. V10n2 + 7n +3
- Define the following sets: A={x, y, z, t}, B={s, t, u, v, w, x}, C={t, v, u, s}, D={s, t, u, v}Determine whether each of the statements is true, false, or meaningless. State your answer clearly.(You do not have to justify your answers, but they have to be correct.) (a){s, t}⊂D (b)A⊆B (c)A∈C (d)|C|=|B|Let S = {1, 2, 3, ..., n). Consider the following two statements: 1. If 12 is odd, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. 2. If 72 is even, then S has the same number of subsets with an odd number of elements as subsets with an even number of elements. Which of the following is correct? Statement 1 is true and Statement 2 is false. Statement 1 is true and Statement 2 is true. Statement 1 is false and Statement 2 is false. Statement 1 is false and Statement 2 is true.Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given an arrangement an of length n comprising of integers from 1 to n. The grouping may contain duplicates (for example a few components can be equal). Track down the number of tuples of m=3 components with the end goal that the maximum number in the tuple varies from the base by close to k=2. Formally, you want to view as the number of triples of lists i<j<z with the end goal that max(ai,aj,az)−min(ai,aj,az)≤2. For example, on the off chance that n=4 and a=[1,2,4,3], there are two such triples (i=1,j=2,z=4 and i=2,j=3,z=4). In the event that n=4 and a=[1,1,1,1], all four potential triples are suitable. Input The principal line contains a solitary integer t (1≤t≤2⋅105) — the number of experiments. Then, at that point, t experiments follow. The principal line of each experiment contains an integer n (1≤n≤2⋅105) — the length of the succession a. The following line contains n…
- The correct statements are: A set is countable iff it is either finite or countably infinite. The set of natural numbers is countable. The power set of the set of natural numbers is countable. For any Σ Ø, Σ* is countably infinite.业 In the 8 queens problem, you are to place 8 queens on the chessboard in such a way that no two queens attack each other. That is, there are no two queens on the same row, column, or diagonal. The picture above shows a near solution--the top left and bottom right queens attack each other. We want to solve this problem using the techniques of symbolic Al. First, we need states. What would the best choice be for states? Each queen and its position x Michigan, Illinois, Indiana, etc. How many queens we have placed so far A board with the positions of all the queens that have been placed so far 00 What would the start state be? A single queen's position Crouched, with fingers on the starting line Placing the first queen x An empty board What would the goal state be? CA board with 8 queens placed Ball in the back of the net The positions of all 8 queens A board with 8 queens placed, none attacking each otherv What would the best choice for "edges" or "moves" be? Tiktok Moving a queen from…1. Values in what range could variable n possibly get? Specify the interval and whether it’s open or closed: Random rand = new Random(); int n = rand.nextInt(10)+5; b) How to change the assignment expression, such that n gets values [7;35] (inclusive both). n= c). How to change the assignment expression, such that n gets all odd values in between [7;35] (inclusive both).
- You are the chief commander of US Army; you have been deployed in an ongoing war training of defusing the mine. Mines are placed on the ground which can be considered as a gird of size N*M. Each block (i, j) has a mine in it if and only if the summation of the block coordinates is divisible by 2. Your task is to move from the first row to the last row. The mines will not blow if the given rules are followed: • If you are on even row you can move to any cell that is in the neighborhood • If you are on odd row, you can only go the odd row that has mine on that and same with the unmined row. You have to develop a python program to calculate the number of ways to reach row number N starting from row number 1. Test Cases: 4 8 Output: 10What is the Truth value of the Expression ∀ (x)P(x) in each of the following interpretation? P(x) is the property that X is yellow, and the domain of interpretation is the collection of all buttercups. P(x) is the property that x is yellow, and the domain of interpretation is the collection of all flowers. P(x) is the property that x is plant, and the domain of interpretation is the collection of all flowers. P(x) is the property that x is either positive or negative , and the domain of interpretationClick and drag the appropriate word, symbol, or phrase into the most appropriate blank. Let P(x) be the statement "x can speak Russian" and let Q(x) be the statement "x knows the computer language C+t." Consider the statement, "Every student at your school either can speak Russian, or knows C+." This statement is k(n) beginning of the symbolic statement is statement, because of the word, "every." So, the appropriate quantifier to be applied at the .We want this symbol to act on x, representing a student at your school. The universal statement may be rewritten for clarity's sake as, "Every student at your school speaks Russian or every student at your school knows C++." The phrases, "student at your school speaks Russian" and "student at your school knows C++" are directly symbolized by respectively. Finally, the word "or" requires the statement to employ the . Hence, the completed quantified statement is Q(X) and P(x) P(x) and Q(x) universal VX(P(x)vQ(x)) 3X(P(X)AQ(x)) conditional…