With a short time remaining in the day, a delivery driver has time to make deliveries at 5 locations among the 8 locations remaining. How many different routes are possible?

Q: On a ballot, the candidates for each office are listed together under the office for which they are…

A: Number of candidates in one office is 5. Number of candidates in another office is 3.

Q: Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to…

A: Three married couples are to be seated in a row having six seats in a cinema hall. We have three…

Q: If there is a bird in every branch, there will be an excess bird not on the branch but if there will…

A: Here, it is given to us that: There is a bird for every branch, and if each bird sits on one branch…

Q: There are  12  European cities that Linda would eventually like to visit. On her next vacation,…

A:

Q: A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2 digits. How…

A: Given:- A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2…

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: A one-topping pizza consists of choosing a crust, a type of cheese, and one topping. If there are 4…

A:

Q: In the past, a local telephone number in a country consisted of a sequence of three letters followed…

A: The telephone numbers consist of sequences of 2 letters followed by 5 digits and 3 letters are…

Q: Five friends have tickets next to each other in one row. If two of the friends must sit next to each…

A: Five friends have tickets next to each other in one row. Two of the friends must sit next to each…

Q: Each student at State College has a student I.D. number consisting of seven digits (the first digit…

A: no.of digits ( 0 to 9)=10no.of letters(A,B,C,D,E)=5

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A:

Q: Suppose there are three different farmers collecting eggs from a hen house. The amount of eggs in…

A:

Q: A group of Mathematics faculty at the local college consists of 10 women and 10 men. Five people are…

A: Given  No of men = 10 No of women = 10 We need to select 5 people

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

A: It is given that, a small combination lock on a suitcase has 4 wheels, each labeled with the 10…

Q: A certain committee has organized a retreat for all couples, where the couples are to sit around a…

A: SolutionGiven A certain committee hasorganised a retreat for all couples, wherethe couples are to…

Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

A:

Q: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in…

A: The given problem is regarding arithmetic progression series. First-term is given. A common…

Q: A class of 50 students opens two vacant positions for the potential president and a treasurer. How…

A: The question is based on permutation. We will use the following formula for solving the problem.…

Q: Each student at State College has a student I.D. number consisting of 5 digits (the first digit is…

A: Given: Student ID consists of 5 digits and 3 letters. It means that total characters in student ID…

Q: In a certain state, all car license plates have four capital letters followed by three digits.…

A:

Q: miner finally struck gold, taking 1 oz. of gold the first week, 2 oz. the second week, and 4 the…

A: Given query is to find the amount of gold taken out in 10th week.

Q: 4. A frog is at the bottom of a 17-foot well. Each time the frog leaps, it moves up 3 feet. If the…

A: To find the number of leaps needed to frog to escape the well

Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Follow the steps.

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Given that, A delivery driver has time to make deliveries at 5 locations among the 9 locations.…

Q: Suppose you have 9 shirts to pick from and 10 pants to pick from. You want to know how many outfits…

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: Four married couples have bought 8 seats in the same row for a concert. There are two possibilities…

Q: Three married couples have purchased tickets for a play. Spouses are to be seated next to each…

A: Given :  Three married couples purchased tickets.                 To find  :  How…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

Q: Each student at State College has a student I.D. number consisting of eight digits (the first digit…

A:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Combination:Combination is defined as the selection of all or part of a set of objects, without…

Q: Each student at State College has a student I.D. number consisting of five digits (the first digit…

A: There are totally 10 digits, the first digit has 9(Because first digit is nonzero) choices. Since…

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

Q: Spider has one sock and one shoe for each of its 8 legs. In how many different ways can the spider…

A: There are 8 socks and 8 shoes.

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: At a meeting between coworkers, the eight participants sit on a round table facing the beach. There…

A: Given: There are 8 participants 2 pairs are to be seated together

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

A:

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…

A:

Q: A student is told to work any 8 out of 15 questions on an exam. In how   many different ways can he…

A: He will pick a group of questions. The arrangement will not matter, so we will use the combination…

Q: Customer account "numbers" for a certain company consists of 22 letters followed by 44 single-digit…

A: In general, the number of digits is 10. They are, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Q: Suppose we want to choose 5 objects, without replacement, from 14 distinct objects. (If necessary,…

A:

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Since the order of these 6 chosen locations will matter, hence the total number of routes can be…

Q: A man has 4 shirts, 4 pairs of trousers, 3 pairs of socks and 2 pairs of shoes. How many different…

A: Given Number of shirts = 4 Number of trousers = 4 Number of pair of socks = 3 Number of pair of…

Q: a lock has a code of 3 numbers between 1 and 20. if no numbers in the code are allowed to repeat,…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: Four married couples have reserved eight seats in a row at the   theater, starting at an aisle seat.…

A: As given above there are four married couples have reserved eight seats in a row. The arrangement of…

Q: Your field experience instructor wants to line up 9 cars for transportation to a grade school.…

A: Permutation is used to arrange r numbers from n numbers. Combination is used to select the r numbers…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Given information- We have given that a delivery driver has time to make deliveries at 5 locations…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries to 6 different…

A: