Let U = {0, 1,2, ...,9}, A = {1, 2, 5, 8, 9}, B = {0, 1, 3, 4}, and C (AU B) nC = AU (Bn C) = A – (B – C) = B – (An C) = %3D C – (A U B) = %3D (A n B) U C =
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Set Operation:
- Union: It is denoted by symbol. Let's take two sets A & B, then contains all the elements which are present in set A or B or both.
- Intersection: It is denoted by symbol. Let's take two sets A & B, then contains all the elements which are present in set A and B both.
- Difference: It is denoted by symbol. Let's take two sets A & B, then contains all the elements which are present in set A but not in B.
- Complement: Let's take a set A, then contains all the elements which are present in the universal set not in the A.
Roaster Notation of Set: The set is represented in roaster notation by listing all the elements within braces {} and separated by comma(,).
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- (Conversion) Write an assignment statement to convert temperature in degrees Fahrenheit to degrees Celsius. The formula for this conversion is Celsius=5/9(Fahrenheit32).(Numerical) Write an assignment statement to calculate the nth term in an arithmetic sequence. This is the formula for calculating the value, v, of the nth term: v=a+(n1)d a is the first number in the sequence. d is the difference between any two numbers in the sequence.Assignment Description This program will simulate part of the game of Yahtzee! This is a dice game that involves rolling five dice and scoring points based on what show up on those five dice. The players would record their scores on a score card, and then total them up, and the player with the larger total wins the game. A Yahtzee score card has two portions: The upper portion has spaces for six scores, obtained by adding up all of the 1's, 2's, 3's, etc. The lower portion has special scores for various combinations: Three of a kind -- at least 3 dice are the same number;the score is the sum of all five dice Four of a kind -- at least 4 dice are the same number;the score is the sum of all five dice Small straight -- four consecutive numbers are represented, e.g. 2345;the score is 25 points Large straight -- five consecutive numbers are represented, e.g. 23456;the score is 30 points Full House -- three of one kind, two of another; the score is 30 points Yahtzee! -- five of a kind; the…
- C++ A dice game called "21" It is a variation on BlackJack where one player plays against the computer trying to get 21 or as close to 21 without going over. Here are the rules of the game: You will play with dice that have numbers from 1 to 11. To win, the player or the computer has to get to 21, or as close as possible without going over. If the player or computer goes over 21, they instantly lose. If there is a tie, the computer wins. Starting the game: The player is asked to give the computer a name. For now, we'll simply call the computer opponent, "computer." The game starts with rolling four dice. The first two dice are for the player. These two dice are added up and the total outputted to the screen. The other two dice are for the computer. Likewise, their total is outputted to the screen. Player: If a total of 21 has been reached by either the player or the computer, the game instantly stops and the winner is declared. Otherwise, the player is asked if they…Order check Write a program OrderCheck.java that takes four int command-line arguments w, x, y, and z. Define a boolean variable whose value is true if the four values are either in strictly ascending order (w < x < y < z) or strictly descending order (w > x > y > z), and false otherwise. Then, display the boolean variable value.Design Blackjack Card-Game in C Rules: The player is dealt two cards, face up. The dealer is also dealt two cards, one up (exposed) and one down (hidden). The value of cards two through ten is their pip value (2 through 10). Face cards (Jack, Queen, and King) are all worth ten. Aces can be worth one or eleven. A hand's value is the sum of the card values. The player is allowed to draw additional cards to improve his hand. A hand with an ace valued as 11 is called "soft", meaning that the hand will not bust by taking an additional card. The value of the ace will become one to prevent the hand from exceeding 21. Otherwise, the hand is called "hard". Once the player has completed his hand, it is the dealer's turn. The dealer hand will not be completed if all players have either busted or received blackjacks. The dealer then reveals the hidden card and must hit until the cards total up to 17 points. At 17 points or higher the dealer must stay. You are betting that you have a better…
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