Slips of paper marked with the numbers 1, 2, 3, 4, and 5 are placedin a box. After being mixed, two slips are drawn simultaneously.a. Both slips are marked with even numbers.b. One slip is marked with an odd number and the other ismarked with an even number.c. Both slips are marked with the same number.

Q: In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels…

A: Given Word is: CORPORATION Number of vowels in the word is: OOAIO So we will treat these vowels a…

Q: B. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that…

A:

Q: 12. How many 5-digit numbers are there in which three of the digits are 7, or two of the digits are…

A:

Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

A:

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed d. how…

A: The given digits are 0, 1, 6, 7, 8, and 9.

Q: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels…

A: Explanation: Total number of letter in the word "LEADING" = 7 It is given that the vowels should…

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

A: The given sets are as follows. A=Dirk,Johan,Frans,SarieB=Frans,Sarie,Tina,Klaas,HenrikaC=Hans,Frans…

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

Q: he word "Knickknack" if "nack" goes together in a

A: Given: Total number of letters = 10  Number of letters to be together = 4 Number of 'k' apart from…

Q: Six people attend a party.  If each person at the party shakes hands with everyone else, how many…

A: HAND SHAKE PROBLEM: In the hand shake problems, if there are n+1 people available and every person…

Q: 2.36 (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each…

A: Given : Available digits are 0,1,2,3,4,5 and 6 Total of 7 digits are available Each digit can be…

Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

Q: Determine whether the following are Mutually exclusive, Not mutually exclusive or cannot be…

A: 1) A person is watching TV and sleeping - Mutually exclusive 2) Getting a grade of 90 in Math and a…

Q: 9. How many ordered sets of 3 even numbers are there that will add up to 60? How many different ways…

A: Combinations: The combination is a mathematical method that determines the number of possible…

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

Q: You were tasked to draw using computer-aided drafting to draw eight different buildings along a…

A: In question, We'll find that in how many ways we draw 8 different buildings along a single line. The…

Q: 5(d) if there are at least two varieties among the dozen donuts chosen? 5(e) if there must be at…

A: (d)The objective is to find the number of ways to choose a dozen donuts from 20 varieties if there…

Q: Consider three balls and three buckets. In how many different ways can the balls be arranged in the…

A: Given :  Number of balls = 3  Number of buckets = 3

Q: 3.52. How many telephone mobile numbers are composed of nine digits such that: (c) each successive…

A: The digits that can fill the numbers are 0,1,2,3,4,5,6,7,8,9 This is an example of permutation

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A: given digits  0 1 6 7 8 and 9  i.e., a total of 6 digits are given and repetition of digits is not…

Q: Three circular cardboard disks have numbers written on the front and back sides. The front sides…

A: Consider the provided question, Suppose the back side number are x, y and z. Disk      Front…

Q: . Determine whether the following are mutually exclusive, non-mutually exclusive or cannot be…

A: 1) A person is watching TV and sleeping - Mutually exclusive 2) Getting a grade of 90 in Math and a…

Q: 1) a. A mobile phone shop has 7 colors of iPad, 8 colors of HCT mobile phones and four colors of…

A:

Q: 27. How many 3-digit odd numbers can be formed from 0, 1, 2, and 4 if the digits cannot be repeated?…

A: To find- How many 3-digit odd numbers can be formed from 0, 1,2, and 4 if the digits cannot be…

Q: In how many different ways can these 10 people be arranged if two boys cannot be seated next to each…

A: Given: Total number of people = 10 Number of boys not sitting together = 2

Q: 5. a. How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b.…

A: There are five digits 2, 3, 4, 6, 7  we have to find 3-digit numbers that can be formed from the…

Q: A lock consists of a keyboard with the numbers 0 through 9. A code consist of pressing 3 numbers…

A: Solution: Note: Hi there! Thank you for posting the question. As your question has more than 3…

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: (b) In how many different ways can a il-men football team be cho- sen from a squad of 20 men if the…

A:

Q: Consider 4 digit numbers with each digit from the set {1,2,3,4,5,6,7,8,9} a) How many such numbers…

A: Solution

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating…

A: Given that there are 8 people sitting in a row.The number of people, n=8.

Q: 2) a) How many 3-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 & 6 if each digit can…

A:

Q: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

A:

Q: How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b) Greater…

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Q: .. Consider the word "ADDISABABA" In how many ways can the letters of the word be arranged? In how…

A:

Q: 3. Given that the digit 7,8,9,10, and 11. How many four digits numbers: (a) i. greater than 9000 can…

A:

Q: How many odd numbers are there greater than 1,000 but less than 100,000? Select one: A. 49,050 B.…

A: Here we have to find the number of odd numbers which are greater than 1000 but less than 100000.…

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if:                   a.…

A: (a) Repetitions are allowed: There are 10 digits in total: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The number…

Q: in how many ways can 20 students be grouped into 32 be chosen to attend class late on Friday…

A: 20 students be grouped into 32 be chosen to attend class late on Friday afternoon.

Q: Find the number of 13-card hands drawn from a 52-card deck that are void in exactly one suit.…

A: Solution :-

Q: the number of combinations of 10 distinct objects taken six at a time = the number of combinations…

A: Let us solve the given combination problem in the next steps.

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

Q: If n(A)=10, n(B)=20, and n(AUB)=25, then find n(ANB).

A: given n(A)=10 n(B)=20   n(A∪B)=25 We have to find n(A∩B)

Q: (-12)(+3) O 36 О -36 O 4 O -4

A: Topic- multiplication

Q: If repetitions are not allowed, how many three digit numbers formed with the digits 0, 1, 2, 3, 4,…

A: Topic = Permutation and combination As per guidelines , at a time only three sub-parts of a question…

Q: D. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: To solve:Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number…

Q: 9. C is the set of colors in the Philippine flag. 10. E is the set of even prime numbers.

A:

Q: If a is the least common multiple of 12, 24, and 36, and b is the lowest prime number, what is the…

A: we know that lowest prime number is 2 so, b=2 and a=L.C.M.12,24,36 so, finding L.C.M.…

Q: How many ways to arrange a 4-digit number, provided that the said number must be even and there are…

A:

Q: -7 -3 13 O+28 -12 20 36 52 1

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.