You are visiting the island containing two types of people: knights who always tell the truth and knaves who always lie. You meet a group of four natives called A, B, C and D. These are what those natives say about themselves. A says: B and I are knights. B says: A is a knave. C says: D is a knave. D says: C is a knave. How many knaves are there among these 4 natives? 4 It is not possible to say. O 2 3.

Q: Ten pirates find a sack of gold coins. When they try to divide up the gold (with equal shares for…

A:

Q: Ron wants to make sandwiches for him and his friends. He has the following choices in breads (whole…

A: From given data : Breads = 4 types Meat = 2 Types Vegetable = 2 types Spreads = 2 types

Q: On Monday, Tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 mouse traps.…

A:

Q: Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow…

A: From the given information, the number of ice creams is 2 and number of sprinkles is 3.

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: An ordinary deck of playing cards contains 52 cards, 26 red and 26 black. If a card is dealt to each…

A: (a) There are total 52 cards in which there are 26 red and 26 black cards.       So, in any way,…

Q: You are heading to the animal shelter to choose a pet. The shelter has the following pets available:…

A: Given Information: Number of Cats = 15 Number of Dogs = 24 Total number of pets available = 39…

Q: Inhabitants on Smullyan's Island are either always telling the truth or always lying. You meet three…

A: Let's analyze the statements made by Tywin and Catelyn.Tywin's statement: "He said only one of us is…

Q: if we have a deck of cards and deal out all of the cards: if two people are playing, one card will…

A:

Q: King Arthur has 8 members of the round table sat for today’s meeting. How many arrangements of where…

A: Here given that King Arthur has 8 members of the round table sat for today’s meeting.Then, the king…

Q: Suppose there are 120 students in a veterinary school. There are 49 students that have a dog, 56…

A:

Q: One of four children ate the last piece of lasagna. When questioned theyresponded as follows:Joan: I…

A: One of four children ate the last piece of lasagna. When questioned they responded as follows: Joan:…

Q: Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A: Solution: Given information: Number of ties = 4 Number of shirts = 7 Number of pairs of pants = 6

Q: (b) There are 8 possibilities regarding who are Knight(s) and who are Knave(s). Identify all of the…

A: We will use the basics of mathematical logic to answer this question correctly.

Q: PEANUTS CLASSICS 'A UBRARY SHELF CONTAINS SEVEN BOOKS. THREE BOOKS ARE MATH BOOKS AND FOUR BOOKS ARE…

A: The number of ways n distinct objects can be arranged is equal to n!. The value of n! is calculated…

Q: 700 people went to the amusement park. 500 of them went on a roller-coaster, 100 of them went to the…

A: Let R=roller coaster  H=Haunted house W=water slides S=total 700 people Given, 2 people went on all…

Q: A bag lunch consists of a sandwich, chips, and fruit. There may be a peanut butter sandwich, a…

A: It is given that the bag lunch consist of a sandwich, chips and fruit.There are three options…

Q: On Monday, tom worked 2 hours and Sylvester worked 3 hours and they made a total of 23 traps. On…

A: Let 'x' be the number of traps Tom does 'y' be the number of traps Sylvester does 'z' be the number…

Q: How many students are taking at least one of the three classes?

A: Concept:   The number of ways of achieving success that is the total number of possible outcomes is…

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672  Let the number of grand-children be xNumber of marbles equally…

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

A:

Q: Ameen owns an apartment building. Thirty-five apartments have a patio. Forty-one apartments have a…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement).…

A: Answer:----.                 Date:----11/10/2021

Q: probability that both cards have rank no higher than 10, and at least one of the cards is red?

A: Suppose you select a card uniformly at random from a standard deck, and then without putting it…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.