Three sets have 5, 10, and 15 elements, respectively. How many elements can their union and their intersection have?

Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…

A: This is a counting problem, and we will solve this using the concept of permutations.

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

Q: A concert featured a cellist, a flutist, a harpist, anda vocalist. Throughout the concert, different…

A: The subset: ϕ, ..... no-element subset c,f,h,v ........... one-element subsets, c,f, c,h, c,v, f,h,…

Q: Let the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

Q: 7.) CD Selection: James ruiz has 7 CDs and wants to select 4 to play in his car CD player. In how…

A:

Q: The IU East van that has a seating capacity of seven is to be used by seven athletes to get to the…

A: Given that, The IU East van that has a seating capacity of seven is to be used by seven athletes to…

Q: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

A:

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and one orange…

A:

Q: Divide. 4v3 + 2v- 5 v - 2 29 O 4v2 + 8v - 18 + v-2 31 4v2 + 8v + 18 + v-2 29 O 4v² + 8v + 18 + v-2…

A:

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: A company is choosing their top four officers: CEO, COO, CFO, and CIO. If they have 7 people to…

A:

Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

A:

Q: Apolice department in a small city consists of 10 officers. If the department policy is to have 5 of…

A:

Q: Answer each question. 1. How many ways are there to select 7 people from 14 people? 2. How many ways…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: en two sets: A and B. A has 8 elements. B has 9 elements. A and B share 4 elements. How many…

A: Given two sets: A and B A has 8 elements. B has 9 elements. A and B share 4 elements.

Q: how many ways can each person select one fairy form her own basket?

A: Amy, Betsy, and Cindy are each given a fruit basket. Each basket contains one apple, one pear, one…

Q: At a local restaurant, a dinner special consists of choosing a salad, an entree and a dessert. If…

A: If there are 3 choices for salad, 6 choices for the entree, and 4 choices for dessert. At a local…

Q: Peter has one of each of the following coins in his pocket: a penny, a nickel, a dollar. Four of the…

A: Given is Peter has one of each of the following coins in his pocket. a dime dollar. a a penny, a…

Q: 2. If A = {a, b, c}, B = {1,2, 3}, C = {r}, and D = 0, list all of the elements in each of the…

A: Cartesian product of sets

Q: A student has a choice of 8 classes that she could enroll in for the next semester. An advisor tells…

A: Note: Hey there! Thank you for the question. Two different situations are given here. First, it is…

Q: How many complete ensembles (outfits with one of each item) can Alicia wear if she has four shirts,…

A: Here,to determine the number of complete outfits Alicia can wear, we need to consider the…

Q: The manager of the baseball team has to determine the order in which the players will go to the…

A: Given,Total no.of players=9

Q: A checker is placed in the bottom row of a checker board as shown below. It can move diagonally…

A: This is a counting problem.. we will solve it using the approach of dynamic programming

Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

A:

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

A:

Q: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: Let A = {a, b, c}, B = {1,2, 3} How many elements are in A × B? Determine A × B

A:

Q: people. How many co

A: Let's denote the number of tents of each type as follows: x: Number of 2-person tents y: Number of…

Q: In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the…

A:

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A student must take 4 electives from a set of 10 electives. How many ways can the student choose the…

A: Solution-: Given: n=10, r=4 We want to find how many ways can the student choose the electives.

Q: Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.