Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Math, English, French, History}, B = {Physics, Chemistry, Psychology, French, History}, and C= {Drama, English, Psychology}. Find the following. n[An (BUC)]

Q: To name her doll Estella pulled a name from a jar containing the following names, Alicia, Chanel,…

A: There are total 10 names in the bag. So Estella can pull a name in 10 ways. Her sister can pull a…

Q: A class has 28 students. In how many different way can four student form a group for an…

A: GivenTotal no.of students in a class(n)=28No.of students form a group for an activity(k)=4

Q: c) Given A {1,2,3,4,5,6,7,8,9,10}, show that if you pick 5 number from A, the sum of two of them is…

A: Permutation -every  possible ways in which a set or number of things can be  arranged.

Q: In a Quiz Competition, 102 Students took part in the Mathematics Quiz only, 30 students took part in…

A: Given students participate in Mathematics quiz only is 102 students participate in Physics quiz only…

Q: In how many ways could members of the following club line up all 10 members for a photograph? N =…

A: Given: 10 members of a club.To find: Total number of ways in which the members of the club can line…

Q: Let A = {small, medium, large}, B = {yellow, magenta), and C = {triangle, round}. List the elements…

A: This question is about relation

Q: Find the g.c.d between two numbers. Example: Find the gcd of 414 and 662

A:

Q: What's the Probability that a person polled is female given they are not studying for their final ●…

A: The data shows the gender and studying for finals or not.

Q: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: 3,4,5,6,7,8,9) and A-(0,2,4,6,8), B-{1,3,5,7,9}, C-(2,3,4,5} and D={1,6,7}, list the elements of…

A: Given…

Q: Problem#1: Consider E = {a, b} a. L2 n L3 and |L2 n L3| = ? b. L2 - L4 and |L2 – L4| = ? L4 and |L3…

A: Given sets are  L2 = {aaa, aab, aba, abb, baa, bab, bba, bbb, aaaaa, aaaab, aaaba,aaabb, aabaa,…

Q: Check by Membership Table that (AUB) (AB) = (AB) U (BA). Show the table. (Copy and Paste the table…

A: We have to prove by membership table that,  (A∪B) \ (A∩B) = (A\B) ∪ (B\A)

Q: Estimate the following specification, ỹ = bo + bị * x, given the following data y 3. 6. 13 9. 15 12…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: 14. Vex – 1dx -In2 to

A:

Q: A team is being formed that includes five different people. There are five different positions on…

A: five different people in a team.  there are five different positions on the team.  no. of ways to…

Q: 15! Find the value of 6!9!

A:

Q: Let A = {small, medium, large}, B = {yellow, magenta}, and C = {triangle, square}. List the elements…

A: The elements in A is {small, medium, large}.

Q: What is Combination and Permutation? Give examples.

A: Combination and permutation : A permutation is that the method of golf shot things or numbers in a…

Q: What is XNY where X = {93, 19, 68, 16, 17} and Y = {7,46, 3, 92, 50, 68, 77}? %3D Select the correct…

A:

Q: Evaluate C(12,6)

A: The number of k- combinations from a given set S of n elements can be denoted by  Cn,k and can be…

Q: Given A = {1, 2, 5, 7, 10}, B = {1, 3, 4, 8, 9, 10}, and C = {3, 5, 6, 8, 10}, find A – B. O {1, 2,…

A: Consider the two sets: A=1,2,5,7,10B=1,3,4,8,9,10 It requires us to find the subtraction of sets A…

Q: tim Q Evaluate lcmit (4,4)710,0)

A:

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: 口 W 1. Simplify V320. O 2V5 O 5V4 O 5V2 O 4V5

A: Given, 3203 We have to simplify it.

Q: Select ALL expression that are equal to 8 - 12 - ( 6 + 4 )

A: we will use BODMAS rule to solve the question.

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: We want to find number of elements in A∪B.

Q: v² dv v4+12v3+52v²+96v+64

A:

Q: Bob owns 14 different books. He wants to pick out and arrange 8 of these books left to right on a…

A: From the provided information, Bob owns 14 different books. He wants to pick 8 books and arrange…

Q: Rewrite the expression in the form 4". (4º)(4-8) =

A: Here, we use law of exponents: Product Rule:-                                ax ×ay = ax+y

Q: Given A = {1, 4, 5, 6, 7}, B = {2, 4, 5, 6, 8, 9}, and C = {1, 4, 6, 7, 10}, find A – B. O {1, 2, 4,…

A: To find A−B, we need to determine the elements that are in set A but not in set B. This operation is…

Q: The top six genres of podcasts in the year 2016 are listed in the table to the right. Use this…

A:

Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5.…

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in…

Q: If X∼U{1,2,…,20}, what is Var(3X−7)?

A: As per the question we are given an uniform distribution of the discrete random variable X, which…

Q: Number of basketball teams (five players) that can be formed from eight players. Note that a…

A: Permutations Rule:Number of ordered arrangement of r objects taken from n objects is denoted as nPr…