Answered: Suppose that set A has 17 elements, set…

Suppose that set A has 17 elements, set B has 10 elements, and their union has 18 elements. If the universe U has 23 elements what is the size of An B'?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: a) There are 42 students who are to share 12 computers. Each computer is shared by at most six…

Q: Imagine that you are designing a taggant that will be in the form of a cube with six layered colors.…

A: As 1st part is already answered so I am answering 2nd part

Q: 7. If any subset of size five is chosen from {1, -1, 2, -2, 3, -3, 6, -6}, then prove that each of…

A: Given: Sample space={1,-1,2,-2,3,-3,6,-6} Subset of size 5 is chosen from sample space.

Q: 2.) In Fibonacci's famous book, Liber Abaci, he describes a rabbit-breeding problem: A certain man…

Q: 1. There are infinitely many stations on a train route. Sup- pose that the train stops at the first…

Q: Suppose that Manila City Hall has five entrance gate and nine exits. In how many ways can Mathew,…

A: Introduction: It is required to find the number of possible ways in which Mathew (M), Jenn (J), and…

Q: 7. If P(A) = 1, P(B) = 1, P(AB) = , then determine P(AUB), P(ANB), P(AB), P(ABUAB).

A: P(A) = 1/4 P(B) = 1/2 P(AB) = 1/6

Q: Suppose A = {a,b,c,d,e} , B = {d,e,f} and C = {1,2,3} a) A ∪ B

A: A union B involves all the elements of A and B once

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

Q: 6. Let s, be the number of different symmetric trains of length n which are built out of cars which…

Q: There are 45 different time periods during which each class at a university can be scheduled. If…

A: to solve the given question, we shall use the Pigeonhole principle. Pigeonhole Principle: If k+1 or…

Q: Use the following information to answer the next question. U= {all natural numbers up to 8}, with…

A: We have given that U = { all natural numbers up to 8 } A= {1,3,5,7} B= {2,3,5,7} C= {2,4,6,8}…

Q: Colombian license plates are made of 6 places. The rest 3 are letters, and the last 3 are numbers…

A: a) To calculate the number of possible license plates when you can repeat letters and numbers, you…

Q: Alice chooses her password using Pokemon name. She randomly picks X Pokemons, take the first 3…

A: WPA2-PSK password can have minimun 8 character to 63 character. Alice choose he password using…

Q: state the MUT two diferentways a in words

A: We have to state mean value theorem in two different ways.

Q: in how many ways can he select 5 shirts if 1)onyl the image in shirt matters 2)only the colors…

A: Harry has 9 different shirts of different images,alphabets and images. He has to select 5 shirts.…

Q: Assume that there are 3 routes from chicago to New york, 5 routes from New York to san fransisco,…

Q: Suppose you have 5 different flags available to make a signal. How many ways can this be done if…

A: Given,Total no.of flags=5

Q: Suppose we only have set cards which are green and whose shapes are ovals. What is the smallest…

A: Here we only have set cards which are green and whose shapes are ovals.Then, we have to find the…

Q: A president and a treasurer are to be chosen from a student club consisting of 50 people. How many…

Q: If a universal set has 500 elements, n(a)= 240, n(AUB) = 400, n(An B) = 55, what is n(B')?

A: Total number of elements = n(U) = 500n(A) = 240n(A B) = 400n(AB) = 55We have to find n(B').

Q: @3) IF 3 books are picked vandomly from ashelf Containin 4 Engg. books , 3 physis ,1 dictionany…

A: Given,no.of Engg books=4no.of physics books=3no.of dictionary books=1total no.of books=8

Q: a set blocks contain blocks of height 1, 2, 4 centimeters. Towers can be contructed by piling some…

Q: Please send me answer within 10 min!! I will rate you good for sure!! Please solve all the parts…

A: Introduction In this answer, we will consider the problem of assigning 4 sets of pairs to 8 beds in…

Q: If u' = a, v² and wi = b, uª then wi is equal to bja,vª None of these o

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

Q: (BUA)'= Give a 3 element subset of set B.

A: Given : U = 1,2,3,4,5,6,7,8,a,b,cA = 2,4,6,8B = 1,2,3,4,a,bC = 4,8,a,c

Q: For an indexed collection of sets to have an intersection an element needs to be in every set right?…

Q: 13 If Set A = {1, 2, 3, 4}, Set B = {3, 4, 5} and Set C = {4, 5, 6} then, prove (AUB)UC=AU(BUC)

A: The union of two sets A and B is equal to the set of elements that are present in set A, in set B,…

Q: How many different arrangements are there for placing identical coins into three different piggy…

Q: If A = {3,4,7,9) and K = {1,3,4}, find A UK.

A: As per policy, we are solving only the first question please post multiple questions separately.

Q: If z,,z, EC then Z+z,=00 Z+Z2=Z,+Z,O Z Z2=0=Z=0 or z,=00

A: Option (3) and (4)

Q: 5. A certain bacteria triples every 2 days. There are 10 bacteria now. Find the number of bacteria:…

Question

Suppose that set A has 17 elements, set B has 10 elements, and their union has 18
elements. If the universe U has 23 elements what is the size of An B'?
(A)
(D)
(D)
17

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Relations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Find the number of elements in the following sets. 1. A 2. A intersect B intersect C 3. A intersect B’ intersect C’ 4. A U B 5. A’ U C 6. ( A’ intersect B) U C’
3. 1) UA Let A/= (0, 1,2,3,...,i) for i=1,2,3,.... Find 2) NA,
8. There are three places P, Q and R such that 3 roads connects P and Q and 4 roads connects Q and R. In how many ways can one travel from P to R?
1) Let Pn denote the number of ways to build a pipe n units long, using segments that are either plastic or metal, and (for each material) come in lengths of 1 unit or 2 units. For example, p1 = 2 since we can use a 1-unit segment that is either plastic or metal, and p2= 6 since we can use either type of 2-unit segment, or any of the 22 possible ordered choices of 2 segments each having a length of 1 unit. Define po = 1. Determine a recurrence relation for pn. Give a combinatorial proof that your recurrence relation does solve this counting problem. Use your recurrence relation and the method of generating functions to find a formula for pn. [Hint: Your final answer should be Pn= 1 2√3 (1+√3)+¹-(1-√3)+¹ for every n 20.] 2) Let s, denote the number of lists of any length that have the fixed sum of n, and whose entries come from {1,2,3). For example, s2 = 2 because (1,1) and (2) are the only such lists; and 84 = 7 because the lists are (3, 1), (1, 3), (2, 2), (2, 1, 1), (1, 2, 1), (1, 1,…
Question #07 i) A box contains three white balls, four black balls and three red balls. Find the number of ways in which three balls can be drawn from the box so that,a) At least one of the balls is black.b) With no restrictionc) One ball of each colors.ii) Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed ifa) The first digit must be 1 and repetition of the digits is allowed?b) The first digit must be 1 and repetition of the digits is not allowed?c) The number must be divisible by 2 and repetion is allowed?b) The number must be divisible by 2 and repetion is not allowed?
5. There are 6 white balls and 4 black balls in a pocket. Take any one without replacement, and define the r.v. X as the number of balls that are taken out when the white ball is taken out for the first time. a) Find the pmf of X. b) If the black ball is taken out, it will not be put back, and another white ball will be put in. Find the pmf of X.
17. Show that if A and B are sets in a universe U then ACB if and only if AUB=U.
4. In a bakery, there are 12 kinds of cookies and there are 25 cookies available from each kind. a) In how many ways can we buy at least 1 cookie from this bakery? b) In how many ways can we buy at most 2 cookies from this bakery? c) In how many ways can we buy exactly 4 cookies from this bakery?
9. Given set A={1,4,5) B=(2,4, 8} such that a/b on the set of natural nuber if and only if there is some elements of natural numbers aRb=(4,2), (4,4), (4,8)) aRb={(4,2), (4,5), (4,4)} O aRb={(4,2), (4,4), (4,6)} aRb=((4,2), (4,1), (4,3))
5. a) A 4-sided die with numbers 1,2,3,4 on the faces, is rolled n times in row, and the numbers that appear are recorded as a list. Count the lists, where each number appears at least once. b) Consider the set S = {3,7,11,15,19,...,95,99,103}. At least how many elements must be selected from S to guarantee that there will be at least one pair of numbers in the selection whose sum is 110? Fully explain your answer.
1) 75-x =1, %3D 3) 32x+5 = 27, %3D 5) 37-2 4 25 7) 5-2 = 125, 9) 36* – 4.6* – 12=0,