A teacher asked how many of her students if they have any relatives living in some of the states bordering Georgia. Find the number of students who would fall into the category (Alabama)' ?

Q: first digit of the phone number can not be a U?

A: Given 10 digit phone numbers are there in Montana with an area code of 406 the first digit of the…

Q: From a list of 49 captains, 4 are to be promoted to major. In how many ways can this be done?

A: GivenNo.of captains=49No.of captains promoted as major =4

Q: There are 12 women running in a race. How many different ways   could first, second and third prize…

A: The first winner can occur in 12 ways, the second winner can occur in (12-1)=11 ways, the third…

Q: From a total of 9 houses, 3 were of red paint, 2 of green paint and 4 of yellow paint. Determine the…

A: The total number of families are = 9. and total number of houses are 9, where 3 have red paint, 2…

Q: ... Question 2 / (1.5 Marks) What is the number of ways that 15 people can be seated in a circle?

A: In question, We find the number of ways that 15 people can seated in a circle. The solution is…

Q: If a phone company sends a random 6-digit number to customers to activate their phone, how many…

A: Consider a problem in which there are n vacant inline spots, each spot is to be filled by any of the…

Q: 56. How many seating arrangements are possible for 5 people to sit in the 5 seats of a car if 1…

A:

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

Q: If the state’s license plates include 2 letters followed by 5 digits (ex. AB 12345), how many…

A:

Q: A survey of residents in a certain town indicates 170 own a dehumidifier, 130 own a snow blower, and…

A:

Q: How many ways are there to place 13 identical red balls into 7 numbered bins?

A: Given Data: The total number of red balls is: n=13 The total number of bins is: r=7 The number of…

Q: From a list of 39 captains, 8 are to be promoted to major. In how many ways can this be done?

A: We need to find the value by combination rule

Q: What is the number of 3 letter words can be made with the letters in the word 'OMAN'?

A:

Q: A new smart phone comes in five colors, two screen sizes and with four different data plans. In how…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five…

A: The number of all students, The number of students in chemistry only, The number of students in…

Q: A museum wishes to display six paintings next to one another on a wall. In how many ways may this be…

A: in this  question you  can take the highest number which in this case is 6 and multiply by the…

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: ur car leasing agency has 12 red and 15 blue cars in stock. In how many ways can an 11-car group be…

A: given data, 12-red 15-blue27-total carsan 11-car group be selected consisting of seven red and four…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: There are 11 goldfish in a fishpond. In how many ways can 5 be chosen to be moved to another…

A: →Whenever, we have to select r things without knowing order of selection    from n things , then…

Q: The new license plates consists of three alphabet letters followed by three digits.  How many…

A: Given: A license plate consists of three alphabet followed by three digits. The objective is to…

Q: ) Students need to answer 8 out of 10 questions in mathematics exam. In how many ways can a student…

A:

Q: An automobile license plate is designed to show 4 letters from A to Z followed by a 4-digit number.…

A: Total no.of letters from A-z=26Total no.of digits from 0-9=10

Q: A small town have five police cars: when a call comes in the dispatcher may dispatch no cars, one…

A: Given that there are 5 cars.  The dispatcher may dispatch no cars, one car, two cars, three cars,…

Q: According to an autograph association, only 8% of autographs in cirrculation from a certain band are…

A: Let x be the number of authentic and non-authentic autographs in circulation.Given that, 8% of…

Q: In how many ways can 12 people occupy the circular table in a mini theatre

A: given, number of people can occupy the circular table in a mini theatre is 12

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

Q: The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is…

A: The permutation formula is nPr = n!/(n-r)!

Q: are there for the names to be listed?

A: Given that

Q: Your daughter invited three couples to watch a  theater musical sponsored by my husband. If the 6…

A: Given that  Number of VIP guests = 6  = ( 3 couples ) If the 6 VIP seats arranged in a row are given…

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

A:

Q: The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is…

A: Given data; The number of spots available  in cabinet he/she is appointing(x) = 5 The eligible…

Q: If a coin is flipped 10 times, how often are there 6 or more heads?

A: We want to find the probability  P(X≥6)= ?