A club consists of 9 men and 12 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of five people (who are not officers

Q: president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how…

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Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: A casting director wishes to find one male and one female to cast in his play. If he plans to…

A:

Q: From a group of 7 women and 8 men a committee consisting of 4 men and 3 women is to be formed. How…

A: Given, 7 women and 8 men committee size 4 men and 3 women

Q: In how many ways could a committee be formed that included 3 Conservatives, 3 Liberals, 2 NDP and 1…

A: Number of conservatives = 14 Number of Liberals = 23 Number of NDP = 8 Number of independent members…

Q: Investigative Team The state narcotics bureau must form a 5-member investigative team. If it has 30…

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Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: A basketball team consist of two centers, five forwards and four guards. In how many ways can the…

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Q: Nine people are going to travel for a party in two cars. The larger has 5 seats, and the smaller has…

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Q: The Student Council at a certain school has ten members. Four members will form an executive…

A: Given,  The student council at a certain school has ten members.

Q: if a team of four players must be made from 8 boys and 6 girls, how many teams can be made if a.…

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Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

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Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

A: The number of ways r items can be selected from n different items is equal to C(n,r) . The formula…

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

Q: A committee of 5 students is to be chosen from 6 boys and 5 girls 2. How many committees will…

A: Given,no.of boys=6no.of girls=5total no.of students=11

Q: When a group of 25 students are surveyed: 6 likes ice cream 12 likes hotdogs 15 like burgers One…

A: Provided information is ; Consider ; S = Total number of students  n(S) = 25 A : student likes Ice…

Q: A president, vice president, and 3 at-large members are selected for a school council from 9 people.…

A: Given that president, vice president and 3 at-large members are selected from 9 people.   Number of…

Q: At a dinner party, 6 men and 6 women sit in a round table. In how many ways can they sit if Bob,…

A: Number of ways to arrange N person around the round table is (N-1)!. Here, there are 6 men and 6…

Q: A class contains 9 boys and 3 girls. (a) In how many ways can the teacher choose a committee of 4?…

A: ANSWER: From the given data,

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: A. In a manufacturing operation, a part is produced by machining, polishing, and painting. If there…

A: Manufacturing Operations  Number of Tools Machining 3 Polishing 4 Painting 3 Process of…

Q: A laboratory cage contains eight white mice and six brown mice. Find the number of ways of choosing…

A: Given problem is : A laboratory cage contains eight white mice and six brown mice. Find the number…

Q: how many ways can four doctors and three nurses be seated in a row if the doctors and nurses are to…

A: Given that :  D represent doctors .  N represents nurses.  Arrangement in which Doctors and Nurses…

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A school dance committee is made up of 4 freshman, 4 sophomores, 3 juniors, and 2 seniors. How many…

A: Given 4 freshman 4 sophomares3 juniors 2 seniorsstudents must fit together by gradeF1F2F3F4…

Q: 2)A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are…

A: Respected student, By policy of Bartleby we are solving your first 3 parts, Please repost other…

Q: The United States Senate Committee on Commerce, Science, and Transportation consists of 23 members,…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Selecting…

Q: A class contains 9 boys and 3 girls. (i) In how many ways can the teacher choose a committee of 4?…

A: It is an important part of statistics. It is widely used.

Q: In how many ways can a committee of three consisting of two lady engineers and one mal engineer can…

A: Given that  Committee consists of members  = 3  [ Lady engineers = 2 ; Male engineer =1 ] Lady…

Q: Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them…

A:

Q: A school dance committee is made up of 2 freshman, 5 sophomores, 2 juniors, and 5 seniors. How many…

A: Given Data- A school dance committee is made up of: Freshman =2 Sophomores = 5 Juniors = 2 Seniors =…

Q: A group of 12 service dogs have been trained as K-9 units to assist the SWAT unit. How many ways are…

A: This is a combinatorics problem. So number of ways to select 3 dogs from 12 is:  C12,3=12!3!12-3!…

Q: An appliance store carries 9 types of washing machines and 5 types of dryers. A shopper comes in and…

A: Total number of washing machines = 9 Total number of dryers = 5

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: a) The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

Q: A southeast regional salesman has eight destinations that he must travel to this month: Atlanta,…

A: Given : A southeast regional salesman has eight destinations that he must travel to this month:…

Q: In how many ways can 3 men and 3 women sit in a row of 6 chairs, if... a) There are no restrictions?…

A: HERE GIVEN  NO OF MEN =3 NO OF WOMEN= 3

Q: How many ways are there to sit the committee in a row at a meeting if the students must sit together…

A: This is question from permutation and combination

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

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Q: The New Shanghai Restaurant offers a choice of four appetizers, three choices of soups, and ten…

A: Given that:                       Number of choices of appetizers = 3Number of choices of soups =…

Q: A computer programming team has 15 members consisting of eight robots and seven humans. A committee…

A: Formula:  Combination: The number of ways to choose r objects from a set of n different objects is…

Q: A company has 7 male and 12 female employees, and needs to nominate 2 men and 2 women for the…

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Q: A club has 25 members. a) How many ways are there to choose four members of the club to serve on an…

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Q: There are  10  women and  5  men signed up to join a ballroom dance class. In how many ways can…

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Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: A student club consists of 9 freshmen and 9 sophomores. • How many different six-person committees…

A: use permutation and combination find the solution

Q: The University of Ballygobackwards has three colleges: the College of Science, which has 15 staff, 5…

A:

Q: In how many ways can a committee of two men and three women be formed from a group of eleven men and…

A: Combinations are selections made by taking some or all of a number of objects, irrespective of their…

Q: In a UC student club, a president and treasurer are to be chosen consisting of 45 people. a. How…

A: Given data: In a UC student club; a president and treasurer are to be chosen consisting of 45…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.