A school group is deciding how to line up its 10 members for a photo. The president will go first. How many possibilities are there for the remaining spots?

Q: In a factory there are (7) engineers and (5) accountants. A committee of (3) engineers and (2)…

A: Given Information: There are 7 Engineers and 5 Accountants in a factory. The Committee should have 3…

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: A company has 10 male and 11 female employees, and needs to nominate 3 men and 3 women for the…

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Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

Q: There are 6 men and 7 women in a ballroom dancing classes.If 4 men and 4 women are choosen and…

A:

Q: From 30 interested people, how many ways to register 5 teams of 4 for a contest (the remaining 10 do…

A: Given: 30 people 5 teams of 4 10 do not participate.

Q: If there are 9 candidates in an election, how many pairwise comparisons need to be made in order to…

A: So first we will do 4 comparisons and eliminate 4 candidates. Then we will left with 5 candidates.…

Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: There are 6 members on a board of directors. If they must elect a chair person, a secretary, and a…

A:

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: A student is to answer 12 out of 15 questions on an exam. How many choices does he have?

A: The total number of questions in the exam is 15. The student has to answer 12 out of 15 questions.…

Q: if the Borda method  is used to rank the top 10 football teams, how many points would a first place…

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

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Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: From the 6 male and 11 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a…

A:

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

A:

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: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

Q: Find the number of different ways that an instructor can choose 4 students from a class of 26…

A: In this case, n = 26 and r = 4.

Q: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

Q: There are 12 members who are part of the student senate group. How many ways can the teacher…

A: We have to find the no of ways  can the teacher supervisor choose three of them to attend a…

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: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: From the 8 male and 10 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: From 8 male sales representatives  , 2 men can be selected in 8C2 = 28 ways. From 10 female sales…

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: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

A:

Q: A college golf team consists of four players who are ranked from 1 through 4. If a golf coach has…

A: Given that a college golf team consists of four players who are ranked from 1 through 4.

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: There are 6 members on a board of directors. If they must elect a​ chairperson, a​ secretary, and a​…

A: Given data6 membersChairperson, Secretary and treasurer must be electedNo of candidates possible are…

Q: A company has 9 male and 7 female employees, and needs to nominate 2 men and 2 women for the company…

A: Combination:         A combination is a selection of all object or part of a set of objects, without…

Q: How many matches are played in a badminton tournament of 27 players?

A: Sol

Q: The Grossmont College Student Council has 12 members.  How many different groups can be formed to…

A:

Q: At a swim meet, there was a 100 m Butterfly race. If the race had 16 swimmers, how many possible…

A: From the information number of swimmers is 16 and the number of ways that first, second, third and…

Q: In a city of 45,000 homes, a survey was taken to determine the number with Wi-Fi access. Of the 500…

A: Here in a city there are 45000 homes  i.e. N = 45000 500 homes are surveyed, 300 had wifi access…

Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: What are all the ways in which the top 4 racers in a 20 person race can finish?

A: Introduction:In the given situation, the number of persons participated in the race is 20. The…

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: Eight students entered the testing room that had 20 chairs evenly arranged on each side. If two of…

A: Let us assume there are three ladies A, B and C sitting beside each other. The different ways in…

Q: The math club wants to choose a committee to plan the back to school party. How many 5 person…

A: Here we need to find the number of possible ways in which we can form a committee of 5 members from…

Q: When the ballots in box 1 were counted, there were 5,180. In box 2 there were 4,848, and in box 3…

A: .

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…

Q: From the 6 male and 6 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: We will find out the required value.

Q: How many committees could be formed from 10 students if: a) there must be at least 8 people? b)…

A: Introduction: The number of different ways in which r different objects can be selected out of n…

Q: In a beauty contest, there are 5 semifinalist from which 3 winners will be chosen. How many ways can…

A: Combinations :   Crn = n!r! (n-r)! We say that there are Crn combinations of size r that may be…