2.2 ...letters can be repeated and the order of the letters doesn't matter? For each of the following problems, you should write your answer as an expression. Do notgive the final numeric value. For example, if your answer is the number of6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 x 9×8×7 × 6 × 5, but not 151200.The English alphabet contains 26 letters. How many ways are there tochoose 14 letters of the alphabet if...

Answered: 2.2 ...letters can be repeated and the…

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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For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200.
For each of the following problems, you should write your answer as an expression. You do not need to give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 x 9 x 8 x 7 x 6 x 5, but not 151200. How many ways are there to choose 6 items from 10 distinct items if... a ... the order of the items matters and repetition of items is not allowed? b... the order of the items matters and repetition of items is allowed? C... the order of the items does not matter and repetition of items is not allowed? d... the order of the items does not matter and repetition of items is allowed?
For each of the following problems, you should write your answer as an expression. You do not need to give the final numeric value. For example, if your answer is the number of 6-permutations of a set with 10 elements, you should write P(10, 6) or 10!/4! or 10 × 9 × 8 × 7 × 6 × 5, but not 151200. How many ways are there to choose 6 items from 10 distinct items if... a ...the order of the items matters and repetition of items is not allowed? b... the order of the items matters and repetition of items is allowed? с ... the order of the items does not matter and repetition of items is not allowed? d... the order of the items does not matter and repetition of items is allowed?
Correct answer will be upvoted else downvoted. number is called 2050-number if it is 2050, 20500, ..., (2050⋅10k for integer k≥0). Given a number n, you are asked to represent n as the sum of some (not necessarily distinct) 2050-numbers. Compute the minimum number of 2050-numbers required for that. Input The first line contains a single integer T (1≤T≤1000) denoting the number of test cases. The only line of each test case contains a single integer n (1≤n≤1018) denoting the number to be represented. Output For each test case, output the minimum number of 2050-numbers in one line. If n cannot be represented as the sum of 2050-numbers, output −1 instead.
Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target. You may assume that each input would have exactly one solution, and you may not use the same element twice. You can return the answer in any order. please do in python
In Javascript, Given an array of fast food restaurants, return a new sorted array ranked by the overall satisfaction (highest first). See below for a mathematical representation of the satisfaction formula. If two restaurants have the same satisfaction, the names are compared in ascending lexicographical order (case-insensitive). For example, "hungry Jacks" will appear before "KFC" because "h" is before "K". You should NOT modify the order of the original array. and you should show the tests made. the mathematical equation is satisfaction= (customer Service+foodVariety+valueForM / 5 You do not need to round the satisfaction value
in Python Minima in permutations. Write a program that takes an integer n from the command line, generates a random permutation, prints the permutation, and prints the number of left-to-right minima in the permutation (the number of times an element is the smallest seen so far). Then write a program that takes integers m and n from the command line, generates m random permutations of length n, and prints the average number of left-to-right minima in the permutations generated
For the following problem, we will use string notation. If A is a set of symbols or characters, the elements of A" can be written without the usual punctuation (parentheses and commas) used for ordered n-tuples. For example, if A = {x, y), the set A² would be {xx, xy, yx, yy}. The sequence of characters is called a string. NOTE: you will use this a lot in the next theory class, CS 301. a Given A = {u}, B = {i, c}, and C = {u,i,!}, find the result of the set expression: AUBUC. b Find the result of the set expression: A × (BUC) c Fill in the blank of a triple Cartesian product that makes the following statement true: uic € (Xx Y × Z)? HINT: Your answer should be a triple Cartesian product with combination of A, B, and/or C. There are four ways to write this, please include at least two of the different ways in your answer. d Find the result of the set expression: P(A x B) e Find U B; and f Find UA; and ₁ B; where B₁ = {iº, i², i²)} for all positive integers i. ₁₁A; where A₁ =…
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A robot is initially located at position (0, 0) in a grid [−5, 5] × [−5, 5]. The robot can move randomly in any of the directions: up, down, left, right. The robot can only move one step at a time. For each move, print the direction of the move and the current position of the robot. If the robot makes a circle, which means it moves back to the original place, print “Back to the origin!” to the console and stop the program. If it reaches the boundary of the grid, print “Hit the boundary!” to the console and stop the program. A successful run of your code may look like: Down (0,-1) Down (0,-2) Up (0,-1) Left (-1,-1) Left (-2,-1) Up (-2,0) Left (-3,0) Left (-4,0) Left (-5,0) Hit the boundary! or Left (-1,0) Down (-1,-1) Right (0,-1) Up (0,0) Back to the origin! Instructions: This program is to give you practice using the control flow, the random number generator, and output formatting. You may not use stdafx.h. Include header comments. Include <iomanip> to format your output. Name…
Java Script Below we will define an n-interesting polygon. Your task is to find the area of a polygon for a given n. A 1-interesting polygon is just a square with a side of length 1. An n-interesting polygon is obtained by taking the n - 1-interesting polygon and appending 1-interesting polygons to its rim, side by side. You can see the 1-, 2-, 3- and 4-interesting polygons in the picture below. Example For n = 2, the output should beshapeArea(n) = 5; For n = 3, the output should beshapeArea(n) = 13.
A wrestling tournament has 256 players. Each match includes 2 players. The winner each match will play another winner in the next round. The tournament is single elimination, so no one will wrestle after they lose. The 2 players that are undefeated play in the final game, and the winner of this match wins the entire tournament. How would you determine the winner? Here is one algorithm to answer this question. Compute 256/2 = 128 to get the number of pairs (matches) in the first round, which results in 128 winners to go on to the second round. Compute 128/2 = 64, which results in 64 matches in the second round and 64 winners, to go on to the third round. For the third round compute 64/2 = 32, so the third round has 64 matches, and so on. The total number of matches is 128 + 64 + 32+ .... Finish this process to find the total number of matches.

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