Suppose that 10 countries submit bids for the summer Olympics. The Olympic committee will select 4 finalists out of these 10 countries. In how many ways can the Olympic committee pick these 10 finalists?

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: There are 5 defective light bulbs in a bin containing 60 light bulbs. How many ways can you select…

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Q: In a basketball tournament, 8 teams are participating to compete for the top 4 places that will…

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Q: How many words start and end with the same letter are written by replacing the letters of the word…

A: There are total 5 letter in the word " sarar". In which, the letters a and r have occurred twice.…

Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: how many ways can a coach choose four players from eight bench players to replace four of the five…

A: The number of ways in which r different items can be chosen from n different items is given as Crn…

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

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

A:

Q: Several states participate in Hot Lotto, a lottery that requires choosing 5 of the numbers 1-39 and…

A: It is given that lottery  requires choosing 5 of the numbers 1 to 39. Substitute n=39,r=5 in…

Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

A: The given data is as follows:The objective is to compute the number of ways in which one can choose…

Q: There are 5 bus lines from city A to B and 4 bus lines from city B to city C. Find the number of…

A:

Q: how to find the least common mulitpe of 20,8, and is 4

A: Here we have to find the LCM.

Q: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: A committee is to be formed consisting of 4 men and 5 women. If the committee members are to be…

A: Answer  Given  A committee is to be formed consisting of 4 men and 5 women. If the committee members…

Q: selected from a group of 11 Republicans and for Democrats. Find the number of ways of obtaining a…

A: Given that   Committee consists of members (r) = 7 Committee need to be selected from group of 11…

Q: here are 6 contestants in a singing contest grand final. How many ways can we choose a grand…

A: Given there are 6 contestants in a singing contest grand final.

Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

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Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

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Q: Determine the number of ways such that 5 men and 5 women be seated at a round table if no two women…

A: No. of men = 5  No. of women = 5

Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: A president and a treasurer are to be chosen from a student club consisting of 50 people. There are…

A: From the given information, there are 50 people. A president and treasurer are chosen from a student…

Q: rticipate in a competition. Calculate how many different ways the first, second and third can be…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: How many committees of 10 people can be formed out of 29 people

A: Given that 10 people of committees can be formed out of 29 people

Q: An important amendment has to be passed in the assembly. 5 lawyers and 3 politicians have been taken…

A:

Q: How many ways can 3 bowlers be chosen to get a bye in the first round of a bowling tournament with…

A: We have given that Total number of bowlers(n) = 29 Number of bowlers to be chosen (r) = 3 Formula…

Q: A computer operator must select 3 jobs from 11 available jobs waiting to be completed. How many…

A: A combination is grouping or subset of items. Also it is the selection of items in which order does…

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: A biologist is attempt initials should he uSE

A: Givena biologist is attempting to classify 900 species of insects by assigning 2 initials to each…

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: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

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: A committee of 5 students are to be chosen from 25 CS majors and 15 Math majors. How many of these…

A: Exactly 3 CS major students can be selected from 25 CS major students in, 25C3 ways, i.e. 2300 ways.…

Q: A club will be selecting a committee made up of 4 members. There are 12 eligible members to select…

A: Given no of eligible candidates=12  Size of committee =4  To find no of ways to make a committee…