Use the formula for „P, to solve the following question. A club with nine members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled? ns ways th

Q: Town M and town N are connected by two roads while town N and town P are connected by five roads.…

A: There are 2 different roads connecting town M and town N. This shows that there are k=2 different…

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

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Q: Forty women were asked regarding 2 known brands of bag, it was found out that:   15 women use…

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Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

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Q: In a wooded area was 50 woodlice were captured. These were marked and released. The next day a total…

A: Given: In a wooded area was 50 woodlice were captured The next day a total of 75 woodlice were…

Q: Five people applied for jobs at a store. Only two of these people will be hired. The number of…

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Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: Two hundred college students were recently asked if they participated in music or sports. 127…

A: Solution

Q: Q7. 20 people have volunteered for a 5-person neighborhood advocacy committee. 15 of them are…

A: If a particular event can be done in m different ways and an other event can be done in n different…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

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: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to…

A: There are 3 different lots L1,L2,L3 Total spaces=21 (out of 21 6 are closed for renovation) total…

Q: a) there is no restriction on their profession. b) there should be same number of doctor and nurses…

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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: There are 18 males and 14 females in a classroom. A president, secretary and vice- president must be…

A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be…

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

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Q: Apolice department in a small city consists of 10 officers. If the department policy is to have 5 of…

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Q: In a Girls' High School, there were 200 students. Their results in the quarterly, half-yearly and…

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Q: A Computer class comprises 8 male students and 6 female students. Find the number n of ways that the…

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Q: A Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain…

A: i) We can select A as Convener in only 1 way. We can select Secretary from (50-1)=49 people in 49…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

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Q: Mega Millions is a multi-state lottery played in most U.S. states.As of this writing, the top cash…

A: Given that, Mega Millions is a multi-state lottery played in most U.S. states. As of this writing,…

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

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Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

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: Of the 137 students who took a mathematics exam, 57 correctly answered the first question, 65…

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Q: In a​ bag, there are 6 purple and 12 green marbles. If you reach in and randomly choose 5 ​marbles,…

A: Given, there are 6 purple and 12 green marbles in a bag To find the number of ways to choose exactly…

Q: If 120 more people showed up to Shakespeare in the Park than are here now, there would be 9 times as…

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Q: here are five bus lines from city A to city B and four bus lines from city B to city C. Find the…

A: Given that  Number of Bus lines from city A to City B = 5 Number of Bus lines from city B to city C…

Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

Q: At concerts, Mercedes-Benz selects a few VIP tickets for a special meet and greet. Recently, at some…

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Q: How many license plates can be made using either two or three letters followed by either two or…

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