If there are three routes from Detroit to Chicago and 8 routes from Chicago to Michigan, how many different routes may be taken in going to Detroit to Michigan via Chicago? Answer. 24 ways

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…

A: Every shirt combines with every pair of pants to make an outfit.  Shirt 1 creates an unique outfit…

Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings? Your answer is:

A:

Q: Mr. Rettie orders a pizza with 5 toppings,chosen from 15 available toppings. In how many ways could…

A:

Q: In how many ways can 10 people be seated on a bench if only 4 seats are available?

A: Given problem Given that   In how many ways can 10 people be seated on a bench if only 4 seats are…

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: How many ways can a course and schools are chosen? ​

A: Courses={Science, Math}  =2 Schools={UP DLSU,ADMU}=2

Q: 1. Given 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: In how many ways can you arrange five books along a shelf, assuming that the order of the books…

A: Given  arrange five books

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: In how many ways can six books be lined up along a shelf?

A:

Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

A:

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: The number of arrangements of the letters of the word WASHINGTON, if the ASH must be together in any…

A: In this question we have to find Arrangement of word WASHINGTON and ASH always comes together.

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: In a bag of Jolly Gems candy-coated chocolate pieces, 26% are red, 21% are blue, 15% are brown, 16%…

A:

Q: Federal Express driver must make ten deliveries to ten different addresses. In how many ways can she…

A: factorial of n items gives you the number of ways you can arrange the given items

Q: 1) If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: The formula for n! is n(n – 1)(n – 2)…..3.2.1, where n is positive integer.

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A:

Q: 1. How many students like either Realistic Fiction, Mystery or both? 2. How many children like all 3…

A: Hi, Thank you for the Question. Since you have posted multiple questions we will answer the first…

Q: A state makes license plates with two letters followed by four numbers. if no repetitions of the…

A: The license plates must consist of two letters followed by four numbers.

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: A bag contains 15 pieces of candy. In how many ways can four pieces be selected?

A:

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: how many diffrent seating arrangements are possible for king arthur and his 12 knights around their…

A: The number of ways, n items can be arranged around a circular table is equal to (n-1)! . The formula…

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A: Permutation is an arrangement or order of selecting some of the elements from a group or a set of…

Q: How many license plates can be made using either two or three letters followed by either two or…

A:

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: 2. How many 4 letter arrangements can be made from the letters MILKE D?

A: Explained below

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: Your sister is shopping at an exclusive Rodeo Drive clothing store and examines 4 distinct blouses,…

A: It is given that there are 4 distinct blouses, 5 distinct dresses, and 2 distinct handbags. Since,…

Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: How many different choices can be made from 5 red beads, 4 gold beads and 8 blue beads if at least…

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: If a family has four children, in how many ways could the parents have two boys and two girls?

A:

Q: Ifa restaurant menu offers 7 appetizers, 6 main courses, and 11 desserts, how many different meals…

A:

Q: A survey of 154 persons was conducted at TCC, and it was found that 47 persons carried a cell phone,…

A: Given, number of persons carried cell phone = 47 number of persons carried tablet computer =96…

Q: 6) The ski club with twelve members is to choose three officers captain, co-captain & secretary, how…

A: To find the number of ways

Q: How many ways can 6 joggers line up single-file to get a drink from a water fountain?

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

Q: Given 10 different English books, 6 different French and 4 different German books, how many ways are…

A: Given 10 different English books 6 different French books 4 different German books

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  Decorum…

A: For every three-letter combination outlawed, the number of possible plates that get removed is given…

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.