In a club of 55 athletes, 35 played cricket and 32 played football. Each athlete played either cricket or football. Find the number of athletes who played: (a) Both Cricket and Football (b) cricket only b) football only

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Q: In response to the city's Clean and Green Campaign, the Boy scout and Girl Scout of Barangay Jolo…

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Q: O Caitlyn has to determine how many of the 120 employees in her work pla SPU of 40 emplovees. She

A: A) i) The number of vaccinated citizens in a country.  [Discrete] ii) The faculty that a student…

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

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Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

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

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Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

Q: A college awarded 38 medals in football, 15 in basketball and 20 incricket. If these medals went to…

A: Let F, B, C be the sets of the students who received medals in football, basketball and cricket…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: In a club with 7 male and 11 female​ members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: In the UTAS-Ibri with 1000 students, 392 students are taking a course in Mathematics, 498 are taking…

A: Given - In the UTAS-lbri with 1000 students , 392 students are taking a course in Mathematics, 498…

Q: In a class of 40 students, 26 like Math, 12 like physics, and 6 like both math and physics.…

A: Solution: From the given information, number of students in a class is 40. Number of students like…

Q: A musician plans to perform 9 selections. In how many ways can she arrange the musical selections?

A: Given A musician plans to perform 9 selections

Q: A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3…

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Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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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: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

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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: The box office at a movie theater sold 462 tickets for the evening show, and collected $4,781. Hov…

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Q: The university of Montana ski team has 8 entrants in a men’s downhill ski event. The coach would…

A: Permutations: The number of permutations of r items selected from n items is, Prn=n!n-r! The…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: Find the number of different ways that an instructor can choose 4 students from a class of 23…

A: Given: Number of students = 23 Number of students to be chosen = 4

Q: At an appliance store’s grand-opening sale, 152 customers bought a washer or a dryer. Looking at the…

A: Here we have to find the number of customers who bought only washer. The solution is following .

Q: At a raffle promo of 200 people, 5 will be chosen to receive the major prizes. Assuming these prizes…

A: The arrangement of data in an orderly way, they can be represented using two ways. They are…

Q: There are 34 students in a high school senior class. In how many ways could the yearbook choose the…

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Q: Pat has 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11…

A: We have given that - Pat has 9 flowerpots. In garden shop there are 11 types of flower available. We…

Q: There was 48 athletes competing in the men's Biathlon event at the 2022 Winter Olympics, how many…

A: Here given there are 48 ethletes

Q: Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take…

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Q: a local government had an employee reduction and lost 1/5 of its employees . If 88 of its employees…

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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: 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: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: At a football match between North Storm and West Stanford there were 71,167 spectators. If 41,109…

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Q: Out of 300 people who entered a bicycle race, 90% of them carried a water bottle with them during…

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Q: The finals for the 100-meter sprint at the Olympics has 5 runners. In how many ways can they place…

A: In 60 ways they place first , second , third .

Q: From a group of 8 junior employees and 4 senior employees, how many different teams of four can be…

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Q: NAMENT Bobbi needs to select six badminton players to represent the school at a tournament. She can…

A: Given data: The numbers of badminton players required are r=6. The total numbers of people are n=8.…

Q: In a survey of 1110 investors, it was determined that 670 invested in stocks, 625 in bonds and 320…

A: Given: In a survey of 1110 investors, it was determined that 670 invested in stocks 625 in bonds and…

Q: In a standard deck of 52 cards, how many cards are either aces or hearts?

A: There is a standard deck of 52 cards. To determine how many cards are either aces or hearts.

Q: If 8 boats enter a​ race, how many possibilities are there for the first through third place​…

A: The numbers of different possibilities are obtained below: The permutation formula is shown below.…

Q: had a number of colored marbles in a bag. - of the marbles were red, of the remaining marbles were…

A: Simple calculation

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

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Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: In a construction company, there are three

A: Here the table below shows the required calculation for obtaining the coefficient of variation for…

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

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Q: he BMCC web-design club has 40 members. a. In how many different ways can it select a group of 4…

A: Given Data: The number of members in the web-design club is: n=40 The number of members to be…

Q: A contractor has three styles of homes, each with three styles of garages, two styles of decks, and…

A: Answer: First we need to list all the possible selections and the number of choices that each…

Q: How many students participated in debate team?

A: It is given that Let, A represents number of students participated in maths club B represents number…

Q: In a club with 10 male and 11 female members, how many 6-member committees can be selected that have…

A: Determine the number of 6 member committees can be selected that have not more than 2 men.   The…