Suppose a class consists of 3 students majoring in Computer Science, 4 students majoring in Mathematics and 4 students majoring in Islamic Studies. How many compositions are possible to form a group of 3 students if each group should consist at most 2 students majoring in Islamic Studies?

Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Probability when 2 men can be selected from 8 men = 8C2 Probability when 3 women can be selected…

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: How many different teams of 44 can be chosen from a group of 1818 children and 1515 adults if each…

A: It is given that the number of children is 18 and the number of adults is 15.

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the formula nCr = n!/(n-r)! * r!

Q: How many different teams of 4 4 can be chosen from a group of 15 15 children and 17 17 adults if…

A: Given: Number of children = 15 Number of adults = 17

Q: Suppose a class consists of 4 students majoring in Mathematics, 3 students majoring in Islamic…

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Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

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Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

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Q: A group of 4 journalists is to be chosen to cover a murder trial. There are 3 television…

A: We have to choose 4 journalists. Number of different journalists available as following:…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Q: Suppose a class consists of 3 students majoring in Computer Science, 5 students majoring in Islamic…

A: The number of students majoring in the subject Computer Science is given as, n=3 Note that while…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

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Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Number of men = 8  Number of women = 7  Total number of men and women = 15

Q: uppose a class consists of 5 students majoring in Mathematics, 3 students majoring in Computer…

A: given that

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: Suppose a class consists of 5 students majoring in Computer Science, 5 students majoring in…

A:

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

Q: Suppose a class consists of 4 students majoring in Computer Science, 5 students majoring in…

A: The above problem is based on the combinations.     A combination is the selection of items where…

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: Suppose a class consists of 4 students majoring in Mathematics, 4 students majoring in Computer…

A: The number of students majoring in Mathematics = 4. The number of students majoring in Computer…

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

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Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: How many different committees can be formed from 9 teachers and 44 students if the committee…

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Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A: Consider the number of members is 18. The number of posts is 3. Then, the total number of ways in…

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are cho- sen from…

A: Here, 3 students are chosen from each senior, junior and sophomore.

Q: From 6 female employees and 5 male employees, how many groups of 5 employees can be organized…

A: There are 6 female employees and 5 male employees.

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: From 50 attendees of a party, 3 major prizes will be given away. If each attendee can only win once,…

A: Given Data: n=50   number of prizes=3

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

A:

Q: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: How many baseball teams of 9 members can be formed from 14 players?

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Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: In a class there are 20 female students and 10 male students. In how many ways a volunteer group can…

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Q: Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: A committee of 6 people is chosen from 8 women and 8 men. How many different committees are possible…

A: Given that, a committee of 6 people is chosen from 8 women and 8 men. This is a combination problem…

Q: A committee of 4 people need to be selected from twenty numbers of an organization. How many…

A: Given, A committee of 4 people need to be selected from twenty numbers of an organization.

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: Two freshmen and three sophomores from a sorority will attend a conference. If the sorority has 12…

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Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

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Q: A committee of 3 men and 2 women can be formed from a group of 10 men and 9 women in nothing…

A: Given a committee of 3 men and 2 women can be formed from a group of 10 men and 9 women.

Q: A certain elementary school club has 50 members, 20 of which are girls and 30 are boys. If the club…

A:

Statements and Logic

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