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- Explain why it is risky to draw generalizations from a subsetDisplay the resulting graphs of the following set operations, and state if any of the results are isomorphically identical to any of the other results. (1.1) 4 - 1 (1.2) 2 ∩ 4 (1.3) (2 U 3) - 1In 3 to 5 sentences, What does it mean for a set to be closed over an operation?
- d. A grouping of a set's elements into non-empty subsets in such a way that every element is included in one and only one of the subsets is known as __________.1.Consider the set A def = {{}, {{}}, {{{}}}}. If x∈ A, how many elements might x have?Write C program to implement the Indexed allocation strategy.
- Note: Use less than 500 characters to describe the solution! The functions of a linked list can be performed with an array or vector (insert, delete, search, etc). Discuss or explain why would we go through the complexity of building a linked list.Write a function sort_and_return_in_pairs_list for example:[12, 13, 11, 15] return =>(11.12) and (12,13)[14,19,16,18,17,15] return =>(14.15) (16.17) (18.19)Python - Implement a recursive function with signature find(path, filename) that reports all entries of the file system rooted at the given path having the given file name.
- Consider a list of data components L[0:5] = 23, 14, 98, 45, 67, and 53. Let's look for the K = 53 key. Naturally, the search moves down the list, comparing key K with each element until it discovers it as the final element in the list. When looking for the key K = 110, the search moves forward but eventually drops off the list, making it a failed search. Write the algorithmic steps for both sorted and unordered linear searches, along with the times involved.Consider the following scenario: a software creates and manipulates a linked list, like follows:The software would normally maintain track of two special nodes, which are as follows: Explanation of how to utilise the null reference in the node of the linked list in two frequent situations?Given the following sets: U= {1,2,3,4,5,6,7,8,}, A={1,4,5,7}, B= {2,5,6,7,}, and C= {3,4,6,7} Complete the following set operations: a. A U(BUC) b. (A N (B N C))' . c. (A N B) U ( A N C) d. (A N B')U (A N C')