Use the formula for „P, to solve the following question. A club with twelve 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? ways

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

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

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

A: Solution

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

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: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

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 senate committee has 15 members.  If a subcommittee of 6 senators is to be formed from the…

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

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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 company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways  Where 7 people are chosen then there are (42-7)=35 people…

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: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

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Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

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Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

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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: A law firm has ten male and ten female lawyers. A committee of five, two male lawyers and three…

A: Given: A law firm has ten male and ten female lawyers. A committee of five lawyers, in which two…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

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 four-person committee is to be selected from an organization’s membership of 12 people.  How many…

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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: 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: committee of 7 must be chosen to decide on a new school uniform. There are 9 adults and 14 students…

A: Given : There are 9 adults and 14 students who wish to be on the committee. 9 A 14 S Total people =…

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

A: