Suppose a class consists of 5 students majoring in Computer Science, 5 students majoring in Mathematics and 5 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 Mathematics?

Q: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

A: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: In order to get a bachelors degree in biology, a student at IU needs to take 3 math courses from a…

A: Given: Number of math courses that are to take from a set of 7 courses  = 3 Number of chemistry…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

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

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Q: There is a factory that makes widgets in different colors. The production time for each color is…

A: To determine the largest number of widgets that can be placed in each box if it is required that…

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

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Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

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: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: In a restaurant servers are constantly bringing out beverages to their tables. If a restaurant had a…

A: From the given information,there are three options for soft drinks Coke, Sprite, and Fanta4 people…

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

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

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Q: How many different baseball bating line ups are possible if the coach wants to put one of the three…

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Q: How many ways are there to form a group for a work session of 4 people?  How many ways are there to…

A: Here Given  A certain writing club has 4 authors and 5 poets. Total No of people = 4+ 5 = 9

Q: How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men…

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Q: how many teams can be made if they must all be boys?

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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: There are 6 boys and 18 girls in a class. A group of 5 students is needed to work on a project. If…

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Statements and Logic

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