2.1 ...letters can be repeated and the order of the letters matters? 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...

Step 1: Analyze the problem and list down the givenEnglish Alphabet contains 26 lettersnumber of…

Answered: 2.1 ...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?
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
solve in java Integer arrays originalArr and filterArr are read from input, each containing two elements. If an element in originalArr is not a multiple of the corresponding element in filterArr, replace the element in originalArr with the corresponding element in filterArr times 2. Ex: If the input is: 16 9 8 4 then the output is: 16 8 Note: Given integers A and B, A is a multiple of B only if A % B == 0. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 import java.util.Scanner; public class ReplaceNumbers { publicstaticvoidmain(String[] args) { Scannerscnr=newScanner(System.in); finalintNUM_VALS=2; int[] originalArr=newint[NUM_VALS]; int[] filterArr=newint[NUM_VALS]; inti; for (i=0; i<NUM_VALS; ++i) { originalArr[i] =scnr.nextInt(); } for (i=0; i<NUM_VALS; ++i) { filterArr[i] =scnr.nextInt(); } /* Your code goes here */ for (i = 0; i < originalArr.length; ++i) { System.out.print(originalArr[i] + " "); } System.out.println();…
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
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…
. Implement a program that randomly generates 10 integers from -100 to 100, stores them in a 1D array, and finds their maximum value. Calculate the execution time of finding a maximum. Repeat the test for 10,000 and 10,000,000 numbers. Provide your results in the form of a table below and provide a small summary. Implement a Java program that will populate a 5x5 matrix with randomly generated integers from 0 to 100. (1) print your matrix in a table form. (2) modify your code to multiply all even numbers by 10 and print the matrix. Your output of questions (1) and (2) should match the format of the following sample outputs:
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.
Start with any positive number n. If n is even divide it by 2, if n is odd multiply by 3 and add 1. Repeat until n becomes 1. The sequence that is generated is called a bumpy sequence. For example, the bumpy sequence that starts at n = 10 is: 10, 5, 16, 8, 4, 2, 1and the one that starts at 11 is11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1 Write a function named lengthBumpy that returns the length of the bumpy sequence generated by its integer argument. The signature of the function is int lengthBumpy(int n) Examples:lengthBumpy(10) returns 7, and lengthBumpy(11) returns 15. You may assume that the argument n is positive and that the sequence converges to 1 without arithmetic overflow.
The insertion sort was discussed and the implementation was demonstrated in the sorting lecture. In this assignment, you are asked to re-implement the insertion sort (InsertionSort.java),with additional requirements. Particularly, you need to show:1. For each iteration, how a number from a unsorted region is placed in the correctionposion in the sorted region;2. How to make the whole array be sorted based on the previous step, and count the totalnumber of shifts during the whole insertion sort process.2 Details of the ProgramTo complete the whole implementation, you should write at least the following importantmethods:2.1 Part1: insertLast/**A method to make an almost sorted array into fully sorted.@param arr: an array of integers, with all the numbers are sortedexcepted the last one@param size: the number of elements in an array*/public static void insertLast(int[] arr, int size){// your work}To make it concrete, let’s use the example shown in Figure 1. In this example, the…
Write and test a Java/Python recursive method for finding the minimum element in an array, A, of n elements. What the running time? Hint: an array of size 1 would be the stop condition. The implementation is similar to linearSum method in lecture 5 examples. You can use the Math.min method for finding the minimum of two numbers.

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