In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: Three research departments have 8, 7, and 6 members, respectively. Each department is to select a…

A: For Que 1: The first department has 7 choices for the delegate and then 6 choices for the alternate,…

Q: From a committee of 15, how many ways can we select a President, Vice President, Secretary, and…

A:

Q: in a conference we have, 15 people with college degree, 20 people who have job, 40 people with no…

A:

Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: A president, vice-president, secretary, and treasurer are 4 different positions.  So we will have to…

Q: From 10 statisticians and 7 economists, a committee of size 6 is to be formed. How many different…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: board of directors composed of 8 people, how many ways can 1 chief executive officer, 1director, and…

A:

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: answer is in next step

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

A:

Q: A group of 100 people touring Europe includes 43 people who speak French, 50 who speak Italian, and.…

A: Given,           A group of 100 people touring Europe includes 43 people who speak French, 50 who…

Q: A New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: and

A:

Q: Three research departments have 8, 7, and 9 members, respectively. Each department is to select a…

A:

Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

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

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: In a club with 8 members, how many ways can a slate of 3 officers consisting of president,…

A:

Q: 1) If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: The formula for n! is n(n – 1)(n – 2)…..3.2.1, where n is positive integer.

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: A committee must be formed with 3 teachers and 5 students. If there are 8 teachers to choose from,…

A:

Q: In a club consisting of 15 members, how many different ways can a 4-person committee where everyone…

A: It is given that the club contains 15 members.

Q: A college golf team consists of four players who are ranked from 1 through 4. If a golf coach has…

A: Given that a college golf team consists of four players who are ranked from 1 through 4.

Q: A company has 10 members on its boards of directors. In how many different ways can they elect a…

A: The total number of board of directors = 10. The officers need to be elected = 4 (President,…

Q: A survey of 108 persons was conducted at TCC, and it was found that 61 persons carried a cell phone,…

A: Tota number of persons = 108 Number of persons carried  a cell phone n(A) = 61 Number of persons…

Q: A survey of 71 persons was conducted at TCC, and it was found that 40 persons carried a cell phone,…

A: Note: according to our guidelines we can answer only first three subparts A survey of 71 persons was…

Q: how many diffrent seating arrangements are possible for king arthur and his 12 knights around their…

A: The number of ways, n items can be arranged around a circular table is equal to (n-1)! . The formula…

Q: In a board of directors composed of eighteen people, how many ways can a chief executive officer, a…

A: Given data, No of people=18 No of designations=3 No of ways=?

Q: In a survey of 124 pet owners, 28 said they own a dog, and 78 said they own a cat. 26 said they own…

A:

Q: In a survey of 83 pet owners, 56 said they own a dog, and 43 said they own a cat. 41 said they own…

A: Given,         In a survey of 83 pet owners, 56 said they own a dog, and 43 said they own a cat.…

Q: How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?

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Q: The Grossmont College Student Council has 12 members.  How many different groups can be formed to…

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Q: ow many three-member committees can be formed from a group of seven people?

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Q: How many different committees can be formed each consisting of 4 men and 4 women from a pool of 9…

A: The number of men in the pool are 9. The number of women in the pool are 10. The number of men…

Q: In a survey of 185 pet owners, 76 said they own a dog, and 79 said they own a cat. 11 said they own…

A: 185 total people's are surveyed, 76 said they own a dog and 79 said they own a cat. 11 said they own…

Q: From a club of 24 members, a President, Vice President, Secretary, Treasurer and…

A: Given Data: The number of members in the club is: n=24 Five members such as a president, vice…

Q: From a group of 7 men and 6 women, any five persons are to be selected to form a committee. In how…

A:

Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: There are 25 people in a club. In how many ways can the club elect a president, a secretary and a…

A:

Q: A survey of 150 people was conducted to determine their favorite sport. 74 people like chess, 94…

A: We want to find number of people that not like any of the three sports.

Q: The drama club has 25 members and needs to elect officer. They will need a president, Vice…

A: Given data÷

Q: A committee of ten people must choose a president, a vice president, and a secretary. In how many…

A: Given that, A committee of ten people must choose a president, a vice president, and a secretary.…

Q: Ifa restaurant menu offers 7 appetizers, 6 main courses, and 11 desserts, how many different meals…

A:

Q: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: A survey of 154 persons was conducted at TCC, and it was found that 47 persons carried a cell phone,…

A: Given, number of persons carried cell phone = 47 number of persons carried tablet computer =96…

Q: Given 10 different English books, 6 different French and 4 different German books, how many ways are…

A: Given 10 different English books 6 different French books 4 different German books

Statements and Logic

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