FedEx Deliveries With a short time remaining in the day, a FedEx driver has time to make deliveries at 6 locations among the 9 locations remaining. How many different routes are possible?

Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

A:

Q: A laptop computer is purchased for  $2100 . Each year, its value is  75%  of its value the year…

A: We have given  A laptop computer is purchased for $ 2100. So initial worth ,w0 = $ 2100  Each year…

Q: Find the total possible outcomes. A pizza shop has 6 meat toppings, 5 vegetable toppings, and 3…

A: We have to find no. Of ways..

Q: Radio stations taht are on the west side of a nation have call letters cosisting of a K followed by…

A: There are 26 letters (A-Z) We can K in 1 way only. We can pick the first letter in 26 ways.  Then we…

Q: A certain job requires 700 person-hours to complete. How many days will it take for five people…

A: The total amount of work needed to finish the job is 700 person-hours.

Q: o You need to travel in between city X and Y. You can either fly, take a train, or a bus. There are…

A: Explanation of the answer is as follows

Q: A dean and head of department are selected from a faculty consisting of 50 people. How many…

A: Given that there is total of 50 people and every people are eligible for the positions.  We have to…

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: Ami, Beni, Cori, Dani, and Eri went to Dempo concert. How many arrangements were possible when they…

A: Number of total seats are 5. Number of person to sit are 5.

Q: Tags in Delaware consist of 2 letters followed by 3 numbers it the letters can be repeated but the…

A: We can pick a letter in 26 ways.  So two letters can be picked in 26*26= 676 ways

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

A: Given a delivery driver has time to make deliveries at 3 locations among the 7 locationsn=7r=3

Q: A class has 17 ​students, of which 3 are seniors. How many committees of size 3 can be…

A: Crn=n!(n-r)!r! where 0≤r≤n

Q: A local venue is selling tickets to a show. They are selling $10 and $15 tickets, each with…

A: Let x = number of $10 ticketsLet y = number of $15 ticketsTotal = quantity × value       Quantity…

Q: The password of a phone has 4 digits to open. How many possible passwords are possible if all are…

A: Please refer the attached image for complete solution.

Q: A family is planning a camping trip at a national park. The national park has 4 campgrounds, each…

A: counting principle   multiply number of choices to find total no. of possibilities.   4 campgrounds…

Q: A group of 71 friends meets for lunch. They greet each other by exchanging fist bumps. How many fist…

A: According to the provided data, there are 71 friends who meets for lunch and they greet each other…

Q: At a benefit​ concert, ten bands have volunteered to perform but there is only enough time for seven…

A: We have to find total possible lineups by permutation.

Q: At a science fair 35 students competed. Prizes were awarded for first, second and third place and a…

A: It is given that the number of students competed in the science fair is 35.

Q: A flower shop has multiple kinds of flowers: roses, irises, and azaleas. On a certain day, you…

A: Permutation and combination

Q: A museum opens with a collection of 250 items. During the first week after the opening, an…

A:

Q: Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the…

A: Given that - Roll a six-sided die, and then flip a fair coin as many times as the number on the die.

Q: We are at altitude and they have a dunk contest. 7 people participate. How many ways can those 7…

A: Given in the question that we have total 7 participants and we have to find in how many ways can…

Q: A restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two additional…

A: Given that the restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two…

Q: Three married couples have bought 6 seats in the same row for a concert. In how many different ways…

A: a) The number of possible outcomes of n objects is n!. Hence, the number of permutation of 6 persons…

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

A: Permutation:   It is nothing but the arrangement of items in a definite order where the order is…

Q: License plates consists of three letters followed by three numbers. How many different license…

A: Given Information: License plates consists of three letters followed by three numbers. How many…

Q: Driving down Main Street, you go through three intersections where there are traffic lights. Each…

A:

Q: Q2. Four married couples sit in a row. In how many ways can this be done if a. There are no…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A recreation center holds a game every saturday. The team agreed there should be no less than 5…

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: A park bench can seat 3 people. How many seating arrangements are possible if 3 people out of a…

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

Q: After a late night of studying, you and your friends decide to go to your favorite tax-free fast…

A:

Q: combination lock requires three selections of numbers, each from 1 through 30. a. How many…

A:

Q: A man tosses ten coins among ten children. The coins are two 5-centavos, three 25-centavos four…

A:

Q: An ice cream parlor offers 25 different flavors of ice cream. One of its items is a bowl consisting…

A:

Q: Espa A certain train has 7 cars that are being lined up on a track. One of the cars is the engine,…

A: given data,7 cars on a truck1 of cars in enginelast car is   caboose

Q: You have a small wardrobe since you moved to Sac State. You only brought with you 10 shirts, 4 pairs…

A: Given : 10 shirts 4 pairs of pants 3 pairs of shoes An outfit contains 1 shirt, a pair of pant and 1…

Q: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The code is a letter followed by 3 digits.  How many different codes are possible?

A: Given data:   The number of alphabets in the code is 1. The number of digits in the code is 3.…

Q: A teacher is creating a quiz.  There are 9 questions to choose from.  The teacher plans to select 3…

A:

Q: A thief steals a number of rare plants from a nursery. On the way out, the thief meets three…

A: Let the number of plants stolen originally be x. It is given that On the way out, the thief meets…

Q: A math teacher asks each student to create a password to gain access to her website. The password…

A: Introduction :-  Given :-  The password has 5 digits. The first digit must be a multiple of 1. The…

Q: Two cards are drawn from a deck. Number of times the first card is six and the second card is red in…

A: Given that  number of times the first card is six and second card is red

Q: A university professor has 10 students. In how many ways can the professor assign the students to 3…

A:

Q: A theater has 23 rows of seats. The first row has 20 seats, the second row has 22 seats, the third…

A: find explanation below

Q: You have been asked to set up chairs for the school concert. The first row will have 10 seats, and…

A:

Q: International Space Station astronauts each consume an average of 3000 calories per day.  One meal…

A: International Space Station astronauts each consume an average of 3000 calories per day.  One meal…

Q: They sell 727 tickets that do not win any prize, 10 tickets that win a free adoption (valued at…

A: A raffle is being held to benefit the local animal shelter. They sell 727 tickets that do not win…

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

A: A delivery driver has to make deliveries at 7 locations among 8 locations That is  He has to choose…

Q: During the summer, a tourist plans to visit six different parks. She intends to visit each park only…

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.