If I have flags from 11 different countries 6 are from the continent of Africa and 6 are from the continent of Europe. The flags will be displayed in a row, alternating between continents. A flag from Africa will be in the first position how will the flags be displayed? How do I start working on this problem?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: the number of production defects is  29  and that  16  of these are classified as major defects,  12…

A: Number of production defects = 29Number of major defects = 16Number of design defects = 12Number of…

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: How many ways can the letters of the word MAILBOX be arranged in a row if the letters ILB must…

A: Consider the word "MAILBOX" Given: "ILB"  must remain together (in order) To find: The number of…

Q: To win the World Series, a baseball team must win 4 games out of a maximum of 7 games. To solve the…

A: The fundamental principle of counting suggests that the if the total number of ways to do a work is…

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: In order to get a bachelors degree in biology, a student at IU needs to take 3 math courses from a…

A: Given: Number of math courses that are to take from a set of 7 courses  = 3 Number of chemistry…

Q: A signal can be sent from one location to another by running different colored flags up a flagpole,…

A: Given total number of different colour flags = 15 And first flag is white

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

A:

Q: How many teams of 4 can be chosen from a group of 15 adults and 10 children if each team must have…

A:

Q: If 7 numbers will be used to form telephone numbers, how many possible telephone numbers can be…

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Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: How many ways are there to fly from City 1 to City 4 with one stop?

A: Here use given table for no of ways fly from city 1 to city 4

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: A garden has two rectangular flower beds.  In the first bed, we will plant five different flowers in…

A: Given that, A garden has two rectangular flower beds.  In the first bed, we will plant five…

Q: Suppose that 4 Pistons need to be installed in a new engine block. there is a production run of 100…

A: Given, there is a production run of 100 Pistonsand 4 Pistons need to be installed in a new engine…

Q: At an international conference, flags from 9 different countries will be displayed. Of these flags,…

A: Given : Flags of 9 different countries are available,which 5 flags are from Asia countries and 4…

Q: Suppose that a coach must select 5 players to play on a basketball team. • The coach has 13 players…

A: The coach has 13 player to select from  And only 4 players can play center, so one of them has to be…

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: In a survey of 120 people, it was found that: 65 read Newsweek magazine, 20 read both Newsweek and…

A: Let N be the set of people who read magazines Newsweek.Let T be the set of people who read magazines…

Q: In a college football training session, the defensive coordinator needs to have 10 players standing…

A: Given information Total players = 10 1 freshmen 2 sophomore 4 juniors 3 Seniors

Q: An employee at a construction company is ordering interior doors for some new houses that are being…

A:

Q: • Suppose that a coach must select 5 players to play on a basketball team. • The coach has 12…

A: Given that there are 3 players who can play center. So we can choose center in 3 ways only.  When…

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: There were more than 24 glasses, but less than 100 glasses. If the glasses were in rows of 6, there…

A:

Q: A committee has 10 members and 4 members must be chosen for a subcommittee. Three of the 10 members…

A: Statisticians/mathematicians use different counting techniques while selecting or arranging members…

Q: Suppose a n × n chessboard is missing two opposite corners. Prove that no matter what n is, you will…

A:

Q: In row 2 there are 28 seats and in row 4 there are 44 seats. What is the number of seats in row 10?

A: The given data in the question is converted into a table

Q: For traveling salesman problem applied to 5 cities (including the home city), how many tours are…

A:

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only…

A: The number of pizza toppings chosen is 2 and the total number of toppings is 20.

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: A pin tumbler lock has a series of​ pins, each of which must be positioned at the proper height to…

A:

Q: | Suppose 10 ducks and 6 geese line up in a single row. In how many ways can they line up so that no…

A:

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: If you toss a coin seven times, is more likely that heads will come up six times and tails once than…

A: A coin is tossed 7 times.

Q: Suppose you are given 5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles to…

A: We have  5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles

Q: Suppose that Jeremy is a highschool science teacher and that he is dividing 16 students in his…

A: Given problem Given that   Suppose that Jeremy is a high school science teacher. He is dividing 16…

Q: There are 6 different books, and we wish to arrange 4 of them in a row. In how many ways can this be…

A: In the given queston we wish to arange four books in out of 6 in a row.

Q: umber of words of 3 consonants and 2 vowels can be made from 7 consonants and 4 vowels, if all the…

A: Given: Number of consonants = 7 Number of vowels = 4

Q: Company C has 20 employees who are available to serve on a new committee. If the committee will…

A: Given:-total number of employees who are available to serve=20number of member in each…

Q: Suppose 10 baseball players are available to be drafted by 4 teams where each team might win any…

A: Assume the number of players drafted in 4 teams are x , y , z and w. Total number of players = 10…

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: A company has 12 male and 11 female employees. company needs to nominate 2 men and 2 women for the…

Q: 4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10…

A: the number of arrangements or ways  r people seated n adjacent seats row  =nPr =n!/(n-r)!

Q: In case of LSD, each row and each column should be a complet Column. Block. Row. Design

A: In the given question, we'll choose the correct option based on the nature of Latin Square Design.

Q: There are four roads between Aurora Hill to Pacdal, and 6 roads between Pacdal to Bakakeng. Find the…

A: Given: Number of roads between Aurora and Pacdal is, n(A)=4. Number of roads between Pacdal and…