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: 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: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

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

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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: 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: 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: Four math clubs go to a conference and meet up for lunch. They introduce themselves to each other…

A: The scenario in which four math clubs go to a conference and meet up for lunch.Every member of each…

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: 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: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

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

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Q: A large research project is looking for more researchers. There are 8 spots open on the research…

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