I. Let the universal set U {1,2, 3, ..., 10} . Let A = {1,4, 7, 10}, B= {1,2, 3, 4, 5}, and C = {2, 4, 6, 8}. List the elements of each set. %3D 1. U' 2. Bnø 3. ΒnU 4. B'n (C – A) 5. A' n B'UC

Q: 2. Eight persons are to be assigned to two different rooms. Let A one room must have 3 persons. B…

A: Probability can be found by using combinations.

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A: Solution :      Let us define the following symbols: mr : I was replacing my calculator batteries in…

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A:

Q: If 2*+4 = 23-1 what is the value of æ? %3D

A: To solve this problem we use here the besic property of power and exponent.  ax=ay , Imply x=y

Q: In how many ways can a student answer 5 out of 8 questions if he is required to answer 3 of the…

A: Here use combination

Q: How many 5 digit even numbers are there, a. Given that the first digit cannot be zero. b. Given…

A: In five digit following digit can be filled in following ways: First digit can be filled by…

Q: a. no three digits are to be the same? b. the number must be odd? c. the number must be even?

A: here given  5 digit number formed from the digits 1,2,3,....9  so there are 9 digit available for…

Q: IF 1+ 1 then 22 3 1+ ] 32 +ㅗ 42 + +ㅗ S2 a 17 ? 6

A: The given problem is to evaluate the given series sum of the given series 1+1/32+1/52+... with given…

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A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: Your friend gives you a list of three five-digit numbers, but she only reveals one digit in each: 3…

A: as we have given three five digit number 3 ? ? ? ?? 8 ? ? ? ? ? 2 ? ? claim- check whether we can…

Q: C. Solve the following problem." n! p = (n -r)! 1. How many ways may 10 students be seated in a row…

A: 1)GivenNo.of studetns(n)=10No.of chairs to be seatedd(r)=8

Q: A = [120] 001 120 10 0 0 and b 0

A: Least square solution to Ax=0 isWe have

Q: I. Using the numbers 0, 2, 3, 4, 6, and 8, how many 4-digit odd numbers between 2000 and 8000 can be…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: 2. In each problem, show three examples and make a correct conjecture. a) Describe the product of…

A: We have to make correct Conjecture of given three question

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A:

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: 2.x4 + x3 x4 xp-

A: Given query is to find the value of the integral.

Q: I am the smallest number expressed in ones, tens, hundreds, and thousands. All my digits are less…

A: Let's consider each condition one by one- All of the four digits are less than seven, so the numbers…

Q: 8.) Which of the following is equivalent to the problem 22 + -64? A. -22 - 64 B. 22 - (-64) C. 22 -…

A:

Q: Prove log, + log, 20 log, 8 = o

A:

Q: that you are trying to explain negative numbers to someone who has not met the concept and you are…

A: Given statement ‘negative number can’t exist because we can’t have less than nothing’. This…

Q: 7.) Tomas practiced the piano 3 hours less than twice as many hours as David practiced. Let d…

A:

Q: 7. There are 10 red and 10 blue boxes in a cart. Determine the number of ways to arrange the 20…

A: 7)Given there are 10 red and 10 blue boxes.“Since you have asked multiple questions, we will solve…

Q: a) How many plates are possible when letters and numbers can repeat? Set up the expression that can…

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Q: If then 0 0 0 t:9- 0 0 0

A:

Q: 8. Solve. 10+2) - 49-1 ONS the atach a. C. -7 d. -8 b. 4

A:

Q: A true-false quiz contains 15 questions. In how many ways can a student answer the questions if the…

A: A true-false quiz contains 15 questions. The number of ways such that student answer 7 false…

Q: 1. In how many ways can 3 boys and 4 girls sit in a row if a. they are to sit alternately? b, the…

A: According to Bartleby guildlines we have to solve first question and rest can be reposted…

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. 3 P(4) - ²/2…

A: Let, A: The student is in Math club B: The student is in the Computer Club The total number number…

Q: An exam contains five ​"true or​ false" questions. In how many different ways can the exam be​…

A: By the fundamental counting principle, the number of ways to happens more than one independent event…

Q: A retailer uses a lock box to store the keys to a house that is for sale. The access code for the…

A: Given Lock box consist of no.of digits=6Total no.of digits =10                   (i.e.,…

Q: Given A= 45 1 1 0 4 6 1 and B= 3 -1 2 3 2 4 -1 2 160 2, find 3B AT

A:

Q: 4. There are fifty-two cards in a deck of standard playing cards. If four cards are dealt out, how…

A:

Q: The numbers are 10, 45 and 30 are whole numbers. let z be an unknown whole number. when the whole…

A: Given: Known whole  numbers are 10,45,30 Unknown whole number is Z

Q: This question is split into four groups. Each group has exactly one correct answer. In this…

A: Let's do one by one. The absolute value or modulus of a real number x is  denoted |x|  Namely, |x| =…

Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…