An expiriment requires a sequence of three steps. THe first step can result in three possible outcomes, the second five possible outcomes, and the third in six possible outcomes. Whatis the total number of possible outcomes?

An expiriment requires a sequence of three steps. THe first step can result in three possible outcomes, the second five possible outcomes, and the third in six possible outcomes. Whatis the total number of possible outcomes?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

See similar textbooks

Related questions

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

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a…

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of…

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: A couple has narrowed down the choices of a name for their new baby to 4 first names and 6 middle…

Q: There are 6 multiple choices question in an examination. How many sequence of answers are possible,…

A: There are 6 multiple choices question in an examination. if the first three question have 4 choices…

Q: A student needs 6 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for the number of n combinations taken r at a time is given by Crn=n!r!n-r!.

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: How many ways can 12 students standing in a line be arranged if John must be first in line?

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

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: A hotel reservation number consists of five digits followed by two letters followed by three digits…

A: hotel reservation number consists of five digits followed by two letters followed by three digits…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

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 couples want to have their pictures taken. In how many ways can they arrange themselves in a…

Q: 1. Haniemay wants to try all the 23 dishes and 6 desserts in offered in PUP lagoon but she is…

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: At a corporate dinner, five people including the president and vice president are sitting around a…

A: a) If 5 people sit on a circular table then the number of permutations will be 4!=24 b) If President…

Q: If there are 3 representatives from Company A and 4 representatives from Company B meet. If they…

A: This is a application of Fundamental Principle of Counting .

Q: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

Q: An art collector, who owns 10 paintings by famousartists, is preparing her will. In how many…

Q: A job interviewer has set 10 questions with four answer options and one correct answer. In how many…

A: The number of ways for two events to occur in a sequence is p×q. Here, p is the number of ways the…

Q: Of 20 possible books, you plan to take 3 with you on vacation. How many different collections of…

Q: Of 18 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A: Given, Total number of books = 18

Q: 1. Yana wants to travel and visit caves in the Philippines. However, because of tight budget, she…

A: Note : As per Bartleby's guideline for more than one questions only first is to be answered please…

Q: If a plumber and a helper can install a water heater and a half in a half day, then how many water…

A: According to the given information it is required to find the number of water heaters that 20…

Q: What is the sum of number 10 to 40?

Q: f there are elevenmultiple-choice questions on an exam, each having three possible answers, how…

A: Given that Number of multiple choice questions in exam (n) = 11 Each question has 3 possible…

Q: Using an ordinary deck of playing cards, Zia drew 10 cards one-at-a-time while returning the card…

A: Given information: Number of cards in an ordinary deck, N = 52 Zia drew n = 10 cards one-at-a-time…

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data : Number of exhibits are 13 in a science fair Number of Prizes…

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They…

A: Consider the given statement. We have to arranged from oldest to youngest. We have find the number…

Q: How many blocks are needed to build an up-down-up staircase with 5 steps up and 5 steps down?

A: To solve the given problem

Q: 2) Abby is adopting kittens from the pet store. If there are 18 kittens, how many ways can she…

A: In this question we have to find in how many Abby choose two kittens if there are two kitten .

Q: 2. If a license plate consist of 3 letters followed by 3 digits, how many license plates are…

A: Here the repetition of letters and numbers are allowed.

Q: A student needs 11 more classes to graduate. If she has met the prerequisites for all the classes,…

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…

Q: There are 50 guests in a party. If each guest shakes hands with all other guests, how many…

Q: A hotel reservation number consists of 3 digits, followed by 2 letters, followed by 2 digits. How…

Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

Q: A student needs eight more classes to graduate. If she has met the prerequisites for all the…

A: Given ,A student needs 8 more classes to graduate.

Q: A hotel reservation number consists of 5 digits, followed by 2 letters, followed by 2 digits. How…

Q: A committee is going to select 30 students from a pool of 1000 to receive scholarships. How may ways…

A: It is given that a committee is going to select 30 students from a pool of 1000 to receive…

Q: How many 3-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: We have given that a four letter word MATH from which we can made 3 letter words in two different…

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

A: As per bartleby guidelines only one question should be answered once, please upload each question…

Q: In how many ways can four children fall in line if the tallest be the last?

A: In how many ways can four children fall in line if the tallest be the last?

Q: A student needs 9 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: A catering service offers 12 appetizers, 5 main courses, and 9 desserts. A customer is to select 4…

Question

Expert Solution

Step 1

Consider the given information.

Step 2

According to fundamental counting principle If first step has p number of choices, second step has q number of choices and third step has r number of choices.

So,

Step by step

Solved in 3 steps with 3 images

Knowledge Booster

$Tree$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

To allocate annual bonuses, a manager must choose his top four employees and rank them first to fourth. In how many ways can he create the ‘Top- Four” list out of the 32 employees?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?