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... 2.3 ...letters cannot be repeated and the order of the letters matters?

We will be using permutations.Step 1: Determine the given:Given:n = 26k = 14where:n is the total…

Answered: For each of the following problems, you…

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. 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 Multiple Downvoted. Computer science. pick a non-void adjacent substring of s that contains an equivalent number of 0's and 1's; flip all characters in the substring, that is, supplant all 0's with 1's, as well as the other way around; turn around the substring. For instance, think about s = 00111011, and the accompanying activity: Pick the initial six characters as the substring to follow up on: 00111011. Note that the number of 0's and 1's are equivalent, so this is a lawful decision. Picking substrings 0, 110, or the whole string would not be imaginable. Flip all characters in the substring: 11000111. Invert the substring: 10001111. Find the lexicographically littlest string that can be gotten from s after nothing or more tasks. Input The primary line contains a solitary integer T (1≤T≤5⋅105) — the number of experiments. Every one of the accompanying T lines contains a solitary non-void string — the input string s for…
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.
Imagine that your best friend's birthday is just around the corner and she has a list of birthday gifts she wants. You want to buy not one but two gifts to her. There is a set of prices of gifts like following (2200, 850, 300, 5000, 1550, 480) Design and implement a way of finding the minimum two prices, sum up them, and display. While finding these numbers, make sure that you are using one searching and one sorting algorithm. You should also write your design in a few sentences as a comment.
Given the following array of numbers: 8 2 3 9 10 1 4 6 7 5 Show what the array looks like after each iteration of the following sorting algorithms: Bubble Selection Insertion Mergesort Only show the array contents with each algorithm. You do not need to show function call instances if recursion is used or write any code. Just show the array at key iterations of the algorithm. You can use your own words to describe them as well for more detail (but do not write any code). Show what the array looks like after each recursive iteration of the Quicksort algorithm.
Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × A
solve it by the OUBILD PLEASE
The first time you run algorithm A on a dataset of n elements; it is faster than algorithm B. The second time you run algorithm A on a dataset of n elements; it is slower than algorithm B. Explain how this is possible. Give an example for algorithm A and algorithm B.
The greatest common divisor of two positive integers, A and B, is the largest number that can be evenly divided into both of them. Euclid’s algorithm can be used to find the greatest common divisor (GCD) of two positive integers. You can use this algorithm in the following manner: Compute the remainder of dividing the larger number by the smaller number. Replace the larger number with the smaller number and the smaller number with the remainder. Repeat this process until the smaller number is zero. The larger number at this point is the GCD of A and B. Write a program that lets the user enter two integers and then prints each step in the process of using the Euclidean algorithm to find their GCD. An example of the program input and output is shown below: Enter the smaller number: 5 Enter the larger number: 15 The greatest common divisor is 5
Python Please. An interesting puzzler for chess buffs is the Knight’s Tour problem, originally proposed by the mathematician Euler. Can the knight piece move around an empty chessboard and touch each of the 64 squares once and only once? We study this intriguing problem in depth here. The knight makes only L-shaped moves (two spaces in one direction and one space in a perpendicular direction). Thus, as shown in the figure below, from a square near the middle of an empty chessboard, the knight (labeled K) can make eight different moves (numbered 0 through 7). A: Draw an eight-by-eight chessboard on a sheet of paper, and attempt a Knight’s Tour by hand. Put a 1 in the starting square, a 2 in the second square, a 3 in the third, and so on. Before starting the tour, estimate how far you think you’ll get, remembering that a full tour consists of 64 moves. How far did you get? Was this close to your estimate? B: Now let’s develop a script that will move the knight around a chessboard…
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