7. A multiple-choice test contains 10 questions. There are four possible answers for each question. In how many ways can a student answer the questions on the test if the student can leave answers blank. * (1 Point) 510 410 10³ C(10,5) P(10.4) 9. How many one-to-one function are there from a set with 5 elements to a set with 4 elements * (1 Point) 45 0 C(5.4) P(5, 4)

7. A multiple-choice test contains 10 questions. There are four possible answers for each question. In how many ways can a student answer the questions on the test if the student can leave answers blank. * (1 Point) 510 410 10³ C(10,5) P(10.4) 9. How many one-to-one function are there from a set with 5 elements to a set with 4 elements * (1 Point) 45 0 C(5.4) P(5, 4)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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# Exercise 1. Implement the algorithm covered in lectures that determines if an integer n is prime. Your function should return True, if n is prime, and False otherwise. Your algorithm has to be effective for n ~ 1,000,000,000,000.def isPrime(n):
Given a list of non-overlapping intervals of items, write a function that takes an item as argument and determines in which, if any, interval that item lies. For example, if the items are integers and the intervals are 1643-2033, 5532-7643, 8999-10332, 5666653-5669321, then the query point 9122 lies in the third interval and 8122 lies in no interval.
text = "ALICE was beginning to get very tired ofsitting by her sister on the bank, and of havingnothing to do: once or twice she had peeped intothe book her sister was reading, but it had nopictures or conversations in it, " Using R This is a bi-gram write a function that predicts a set of possible nextwords in a given partial sentence.The function will take three inputs:(1) sentence: the starting of a sentence as a character string, ex. “Hello, how are” and(2) n: the number of words to return that might come next in the sentence. The firstreturned word should have the highest probability of coming next, the second wordshould have the second highest probability, and so on.(3) trans_mat: a transition matrix from a previously fitted markov model.The function should base its predictions on the last bigram of the partial sentence.Note: if there are less than n words that can be generated based on the text, then have yourfunction only return these.
Write a Matlab function that will: read in the spreadsheet file, accept two textual/string arguments: first metric abbreviation/acronym (for example GP) from the list above, Second metric abbreviation/acronym (for example 3P%) from the list above, finds the player (A) who has the highest/maximum value of the FIRST METRIC (if there is more than one with that value, pick the first one - lowest row number) and stores his name and corresponding FIRST METRIC value, finds the player (B) who has the lowest/minimum value of the FIRST METRIC (if there is more than one with that value, pick the first one - lowest row number) and stores his name and corresponding FIRST METRIC value, computes FIRST METRIC average for all players, finds SECOND METRIC value for both players found above, computes SECOND METRIC average for all players,
The Lucas numbers are a series of numbers where the first two Lucas numbers (i.e., at indices 0 and 1) are 2 and 1 (respectively) and the kth Lucas number L_k (where k>1) is L_(k-1) + L_(k-2). Consider the following recursive definition for a function that is supposed to find the nth element of the Lucas numbers. Select the best option that identifies the line of code that prevents this function from running recursively and provides the correct code. Question options: line 5 should be return recursive_function(n-1) + recursive_function(n-2) line 3 should be return [2,1][n-1][n-2] line 3 should be return [2,1][n-1] line 2 should be if n <= 2: line 5 should be return recursive_function(n-1 + n-2) None of these options
Given n pairs of parentheses, write a function to generate all combinations of well-formed parentheses. For example, given n = 3, a solution set is: [ "((()))", "(()())", "(())()", "()(())", "()()()" ] """ def generate_parenthesis_v1(n): defadd_pair(res, s, left, right): ifleft==0andright==0: res.append(s) return ifright>0: add_pair(res, s+")", left, right-1) ifleft>0: add_pair(res, s+"(", left-1, right+1) res= [] add_pair(res, "", n, 0) returnres def generate_parenthesis_v2(n): defadd_pair(res, s, left, right): ifleft==0andright==0: res.append(s) ifleft>0: add_pair(res, s+"(", left-1, right) ifright>0andleft<right: add_pair(res, s+")", left, right-1).
1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 16
2. Let {a, b, c} be an alphabet. List all of the words in Σ2
Write a function is ordered that takes an integer array and its size as parameters and returns true if the array elements are ordered in nondecreasing order and returns false if not. For example, integers in {10,0,1,1,5,1009} are ordered in nondecreasing order. On the other hand, integers in {1, 2, 3, 8, 4, 19} are not since 8 > 4
Drag all else please.
The goal is to rewrite the function, below, such that passes in a different list of parameters, particularly eliminating the need to pass low and high for each recursive call to binary_search. defbinary_search(nums,low,high,item): mid=(low+high)//2iflow>high:returnFalse #The item doesn't exist in the list!elifnums[mid]==item:returnTrue# The item exists in the list!elifitem<nums[mid]:returnbinary_search(nums,low,mid-1,item)else:returnbinary_search(nums,mid+1,high,item) The new function should be prototyped below. The number of changes between the given version, and the one requested is not significant. defbinary_search(nums,item):pass# Remove this and fill in with your code Tip: If you consider that high and low are used to create a smaller version of our problem to be processed recursively, the version requested will do the same thing, just through a different, more Pythonic technique.
A list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. Define a predicate isSorted that expects a list as an argument and returns True if the list is sorted, or returns False otherwise. (Hint: For a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return False if the first item in a pair is greater.) Below is an example of a main function and the associated output: def main(): lyst = [] print(isSorted(lyst)) lyst = [1] print(isSorted(lyst)) lyst = list(range(10)) print(isSorted(lyst)) lyst[9] = 3 print(isSorted(lyst)) True True True False