How many elements are in the union of four sets if each of the sets has 98 elements, each pair of sets share 55 elements, each triple of sets shares 21 elements and there are 6 elements in all four sets.

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Q: How many three-digit numbers can be formed of the digits 1, 2, 3, 4, 5, and 6 if each digit can only…

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

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Q: How many elements are in the union of four sets if each of the sets has 98 elements, each pair of…

A:

Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 6 is to be…

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Q: Is answer all How many elements are contained in the set (1,5)\{1}?

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

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Q: Each student at State College has a student I.D. number consisting of seven digits (the first digit…

A: no.of digits ( 0 to 9)=10no.of letters(A,B,C,D,E)=5

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

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Q: In volleyball, players on the same team rotate through all positions so no particular player is…

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Q: A group of 11 people consisting of 1 freshmen, 3 sophomores, 3 juniors, and 4 seniors are selected…

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Q: How many four-digit numbers can be formed from the digits 1, 3, 5, 7, 8, and 9 (a) if each digit…

A: We have to find total number of four-digit numbers :

Q: There are two copies each of 4 different books. In how many ways can they be arranged on a shelf?

A: GivenTwo copies each of 4 different booksTotal no.of books=2×4=8

Q: How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} to guarantee that at least one…

A: To find  How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} toguarantee that at least…

Q: A class of 50 students opens two vacant positions for the potential president and a treasurer. How…

A: The question is based on permutation. We will use the following formula for solving the problem.…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, four yellow ones,…

A: We have 6 Red marbles2 Green marbles1 transparent marble4 yellow marbles2 orange marblesTotal no of…

Q: Find two different sets of coins that each make 120% of a dollar, where no type of coin is in both…

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Q: If it will be allowed to use a number repeatedly, how many 4-digit numbers can we form from the…

A: In this question we have to find how many four digit can be formed from the given numbers.

Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: How many two-digit numbers can be formed from the digits 1, 2, 3, and 4 if a. no digit is repeated…

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Q: Six math books, four physics books and three chemistry books are arranged on a shelf. How many…

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Q: In a certain class there are a total of 29 majors in mathematics, 21 majors in philosophy, and 7…

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Q: Each marble bag sold by Michael's Marble Company contains 3 blue marbles for every 5 orange marbles.…

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Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 and 7 if each digit can…

A: i) Since we need a four-digit number, the first digit can never be zero. Thus, the number of ways to…

Q: How many 2 – digit numbers can be formed from the four integers 1, 2, 3, and 4 if repetition is…

A: Given2-digit numbers to be formedNo.of integers =4           (1,2,3,4)

Q: mball machine dispenses 5 varieties of gumball (red, blue, green, yellow, and pink). How many…

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Q: A committee has 10 members and 4 members must be chosen for a subcommittee. Three of the 10 members…

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Q: How many elements are in the union of four sets if each of the sets has 95 elements, each pair of…

A: Here, there are four sets. This is representing as A, B, C, and D.Each of the sets has 95…

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

A: Solution

Q: If n∈N and n<2000 , how many numbers n have the property that the sum of the digits of n and the sum…

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Q: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

A: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

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

A: Solution: From the given information, a bag contains three red marbles, three green ones, one…

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

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

Q: A group contains n men and n women. How many ways are there to arrange these people in a row if the…

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Q: A certain brand of shoes comes in 4 different styles, with each style available in 4 distinct…

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

A: It is given that there are three red marbles, two green marbles, one lavender marbles, two yellow…

Q: Three sets have 5, 10, and 15 elements, respectively. How many elements can their union and their…

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Q: bookshelf has space for exactly 12 books. In how many ways can the books be arranged on the…

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Q: A group of 13 people consisting of 3 freshmen, 2 sophomores, 4 juniors, and 4 seniors are selected…

A: Given: A group of 13 people is to be formed by selecting, 3 freshmen out of 6 freshmen, 2 sophomores…

Q: A group of 11 people consisting of 2 freshmen, 1 sophomores, 4 juniors, and 4 seniors are selected…

A: Given:A group of 11 people consisting of 2 freshmen, 1 sophomores, 4 juniors, and 4 seniors are…

Q: A total of 50 students are in a class and they are to be divided into groups of 5. How many…

A: Ans - Given,       A total of 50 students are in a class and they are to be divided into groups of…

Q: 2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of…

A: Given that there are 5 sets and sets contains 10,000 elements, each pair of sets has 1000 elements,…

Q: If an Iphone password can have 4 or 6 digit passwords how many combination can there be if there has…

A: Iphone password can have 4 or 6 digit passwords. There are 10 digits in the number system,…

Q: Consider a bag containing six red marbles, two green ones, one transparent one, seven yellow ones,…

A: Use combination theorem:

Q: a committe of 5 people is to be chosen from a group of 6 men and 4 women how many committed are…

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Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…

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

A: