Explain why in a group of 20 people there must be at least two people who share the same birth month.

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

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Q: There are 6 men and 7 women in a ballroom dancing classes.If 4 men and 4 women are choosen and…

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Q: A couple has narrowed down the choices of a name for their new baby to 4 first names and 6 middle…

A:

Q: A company conducted a marketing survey of its clientele and found that 160 own an iPhone and 89 own…

A: Given that, A company conducted a marketing survey of its clientele and found that 160 own an iPhone…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: In a standard deck of 52 cards, what is the smallest number of cards you must draw to guarantee…

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Q: Out of a group of eight students serving on the Student Government Association, how many different…

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Q: A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the next layer, 3 caps on the…

A: So basically the number of bottle caps in the next layer is just one more than the previous layer.…

Q: In a club of 15 people, we need to choose a president, vice-president, secretary, and treasurer. In…

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Q: A college math department consisting of 10 faculty members must choose a department head, an…

A: Given, n=10 And we need to choose 3 faculty members from 10, here the order of 3 faculty member…

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

A: Given: 11 people are to be seated in a row of 11 chairs. The objective is to find different seating…

Q: if  there was 56 students and 8 groups how many were in each group

A: Given that  Number of students=56 Number of groups=8 To find Number of students in each group.

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

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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: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: If there were only 9 Runners on the team last year how many females were there on the team this year

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Q: The Environmental Protection Agency must investigate 9 mills for complaints of air pollution. How…

A: Giventotal no.of mills(n) = 9No.of mills have to select to investigate(r) = 5

Q: From a group of 20 children, how many must you choose, if you want to make sure two of them have…

A: There are 12 month in a year, thus let m=12. Let n denote the number of chosen children who have…

Q: If five daytime Fahrenheit temperatures recorded during an Antarctic summer are 18 degrees, 12…

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Q: According to the Bureau of Labor Statistics, in 2018, 80.8% of families in the U.S. had at least one…

A: Statistic: If the value is a numerical measurement describing a characteristic of a sample then it…

Q: There are 12 qualified applicants for 5 trainee positions in a department store. How many different…

A: Given There are 12 qualified applicants for 5 trainee positions in a department store. This problem…

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: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

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Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: fraternal twins

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Q: The St. Louis Fighting Octogenarians is a local baseball team which currently has nineteen members.…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set…

Q: Find the number of ways to arrange three tennis player in a bench.

A: To find: The number of ways to arrange 3 tennis player on the bench. Concept used: The number of…

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

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Q: A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: There are 156 players on 13 teams. How many players are on each team? players

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Q: An interview of 50 women in a residential subdivision reveals that 21 are gardeners while 32 are…

A: given: an interview of 50 women in a residential subdivision reveals that 21 are gardeners while 32…

Q: \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his…

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So,…

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

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Q: At a liberal arts school, a survey of 100 students indicates that 68 enjoy their English class while…

A: Let,Number of students who enjoys English subject = n(E)Number of students who enjoys Mathematics…

Q: If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT…

A: Given, 1%  of a shipment of 2000 light bulbs is defective i.e, number of defective bulbs = 2000 *…

Q: A company conducted a marketing survey of its clientele and found that 215 own an iPhone and 106 own…

A: It is given that 215 of the clients own an iPhone and 106 own an iPad. If 19 clients own both an…

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: If eight men can cut twenty-eight trees in a day, how many trees can twenty mean cut in a week?

A:

Q: At family gathering were the following people:one grandfather, one grandmother,two father's,two…

A: Yes, There are not as many people as it sounds. Here is the list who attended Grandfather,…

Q: A college survey was taken to determine where students study. Of 140 students s cafeteria, 76…

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Q: If the number of smokers in a sample of 40 students selected from university A is 14 and the number…

A: Given data,For University An1=40x1=14p1=x1n1 =1440=0.35For University Bn2=380x2=84p2=x2n2…

Q: Of the shareholders in a service corporation, 56% are women. If 72,820 shareholders are men, how…

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Q: A company conducted a marketing survey of college students and found that 191 own a bicycle and 74…

A:

Q: There are six men and seven women in a ballroom dancing class. If four men and four women are chosen…

A: Given:  Total No of Men=6 Total No of Women=7 Formula used: The formula for combinations is given…

Q: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

A: The state of Florida reports that 75% of all patients first diagnosed with a spinal cord injury are…

Q: A teacher asked how many of her students if they have any relatives living in some of the states…

A: Given:

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  Decorum…

A: For every three-letter combination outlawed, the number of possible plates that get removed is given…

Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

A:

Statements and Logic

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