A baseball team has 5 left-handed and 12 right-handed hitters and 3 switch hitters (either left or right- handed hitters). How many ways are there to choose a team of 9 players (without regard to position) so that there will be at least 3 batters who can hit left-handed and at least 4 who can hit right-handed?

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

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

A: As there are 11 girls and 9 boys now if a team of 6 is to be selected. 1) Number of different teams…

Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

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A: We have to find given probability..

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A: As there are 9 girls and 8 boys now if a team of 5 is to be selected.1) Number of different teams…

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…

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A: Given : 16 adults and 18 children If each téam must have at least two adults on it , then there are…

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

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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: A college football coach must choose four new players who will receive scholarships. He can choose…

A: Combination: Let us consider there are n number of objected  out of which r to be chosen then the…

Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: Assume that you have a committee of 11 members, made up of 6 men and 5 women. In how many ways can…

A: Determine the number of ways can the 3 tasks be assigned so that both men and women are given…

Q: The football team consists of 15 members. In how many ways can a playing team of 11 players be…

A: = 1365Hence, there are 1365 ways to form a football team with 11 players from 15 players.

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: A baseball team has 5 pitchers, who only​ pitch, and 19 other​ players, all of whom can play any…

A:

Q: A restaurant offers 4 different flavours of coffee, 3 different soup selections and 4 different…

A: From the provided information, A restaurant offers 4 different flavours of coffee, 3 different soup…

Q: Assume that you have a committee of 15 members, made up of 9 men and 6 women. In how many ways can…

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Q: , and​ secretary-treasurer. If each office is to be held by one person and no person can hold more…

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Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Number of ways of selling two small shirts is 2! = 2 Number of ways of selling three medium shirts…

Q: A buffet has 7 main dishes and 4 desserts. How many different combinations can one choose, if one…

A: Find the number of different combinations can one choose if one takes at least 1 and at most 3 main…

Q: Suppose 7 of the 15 players are left-handed. How many ways are there to select 3 left-handed…

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Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition.  The…

Q: you had a box of five different kinds of fruit and you could choose 2, you might get an apple and an…

A: Given that  Number of types of fruits (n) = 5 Number of fruits we could choose = 2   We know that…

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: Seven women and nine men are on the faculty in the mathematics department at a school.   1. How…

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Q: Suppose that there are 9 female and 12 male students in a classroom. How many different 5-member…

A: According to the provided information, number of female students = 9 number of male students = 12…

Q: Assume that there are 8 girls and 12 boys in the neighborhood club, and a team of 6 is to be…

A: Given information: Number of girls, g = 8 Number of boys, b = 12 A team of 6 is to be selected. It…

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: In a cricket team there are 12 players, among these 12 players there is one captain, 4 batsmen, 3…

A: Given Information: In a cricket team there are 12 players, among these 12 players there is one…

Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

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Q: Assume that there are 11 girls and 9 boys in the neighborhood club, and a team of 8 is to be…

A: It is the question of permutation and combination. And the whole solution is shown below.

Q: A group of 10 people consists of 2 boys, 3 girls and 5 adults. In how many ways can a team of 4 be…

A: i) According to the combination rule, if r distinct items are to be chosen from n items without…

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

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Q: Suppose eight team members are girls and six are boys, How many groups of seven can be chosen that…

A: Let n denote the total number of girls, then n=8. Let m denote the total number of boys, then m=6.…

Q: A co-rec team to play in an intramural tournament of indoor soccer should consist of three men and…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: a town of 3,000 people, 600 are over 50 years of age and 400 are left-handed. It is also known that…

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Q: A committee of 6 people is to be chosen from 5 men and 8 women. In how many ways can this be done (1…

A: Solution

Q: As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1…

A: Given: Anita has a costume wardrobe that consists of 2 pairs of tights (1 white and 1 black), 3…

Q: In a​ bag, there are 11 purple and 7 green marbles. If you reach in and randomly choose 4 ​marbles,…

A: Given in a​ bag, there are 11 purple and 7 green marbles. If we reach in and randomly choose 4…

Q: A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior…

A: Given: Total members (n)=10number of seniors (s)=3number of juniors (j)=4number of rookie(r)=3Number…

Q: Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are…

A: Given information: The total number of players in the team is N = 15. The number of left-handed…

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Q: A company has 7 male and 12 female employees, and needs to nominate 2 men and 2 women for the…

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Q: There are  10  women and  5  men signed up to join a ballroom dance class. In how many ways can…

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Q: From a group of 10 men and 12 women, only 5 will randomly sit down in a row of 5 chairs. How many…

A: Solution :-

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

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Q: In a class of 16 students, there are 6 male students and 10 female students. In how many ways can…

A: Note: Since, you haven't mentioned. For which question you would like to get answered. Here we are…