Answered: The English alphabet contains 21…

The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all lowercase letters such that each word has either 1 or 2 vowels?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.6: Permutations And Combinations

Problem 1SC: If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?

See similar textbooks

Related questions

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

Q: How many distinct 4-letter words can be formed from the word “books”?

A: The given word is “books”. The distinct letters in the word are b, o, k, s which are 4. The number…

Q: How many 4-letter “words” without repeated letters are possible using the English alphabet? (Assume…

A: Given that repetitions are not allowed. The first letter can be selected in 26 ways. The second…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM"

A: Combination : Combination is an way of arranging the possible objects from a set of objects . Where…

Q: How many different license plates can be made if each is to display 3 numbers and 3 letters?

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

Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: A typist has 5 letters and 5 addressed envelopes. In how many different ways can the letters be…

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

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: a) How many three-digit numbers less than 700 can be made using the digits 9, 7, 4, and 2? (Each…

Q: A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the next layer, 3 caps on the…

A: So basically the number of bottle caps in the next layer is just one more than the previous layer.…

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

Q: How many ways can 120 unique packages be loaded into 10 delivery trucks where each truck must have…

A: 120 distinct packages have to be distributed equally among the 10 trucks.

Q: In recent years, a state has issued license plates using a combination of two letters of the…

A: Given that, In recent years, a state has issued license plates using a combination of two letters of…

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

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

A: We know that, No. Of alphabets= 26 No. Of digits= 10

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

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: How many different 4-letter words can be formed from the letters of BUSTLED?

A: The given word is BUSTLED

Q: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

A: How many Ways can 5 Pants, 5 Shirts and 2 Belt combination can be worn?

Q: A baseball team has 14 players. How many 9-player batting orders are possible?

A: Given : A baseball team has 14 players.

Q: How many ways 4 people out of 20 can be sited on a bench for 4 persons?

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

Q: How many different five letter “words” can be made out of the letters in the word world?

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

Q: How many words can be formed from the letters of the word: GOOGLEDOODLE ?

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

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

A: Given Car license plates have 4 (A to Z) capital letters followed by 3 (0 to 9) digits

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

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

Q: ow many three-member committees can be formed from a group of seven people?

Q: In a 26 letter alphabet, how many 5 letters ‘word’ are there made up of different letters?

Q: How many license plate containing two letter followed by three digit can be formed 2 If the letters…

A: License plate made up of 5 alphanumeric in which first two position taken by letters then last three…

Q: There are 7 boys and 3 girls in a class. How many different ways can the classroom teacher create a…

A: From the given information, Number of boys = 7 Number of girls = 3 Total = 10

Q: How many different 8-letter words can be formed with the word ARKANSAS?

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 recording engineer wants to make a CD with 6 songs. In how many different ways can the CD be…

Q: Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE. How many ways can…

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: There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

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

Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

A: given digits: 0 2 4 6 8 to find : how many number greater than 60, 000 can be formed also…

Q: How many license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: Given 0, 2, 3, 4, 4, 5, 8, how many even numbers greater than 5 million can be created?

A: Here Given Numbers 0,2,3,4,4,5,8

Q: Before leaving for the day, the delivery trucks are loaded with packages. How many ways can 120…

A: There are n unique/distinct packages that must be loaded into 10 trucks in such a way that there are…

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: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Number of letters = 4 Number of digits = 5 The letters are followed by digits.

Question

The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all lowercase letters such that each word has either 1 or 2 vowels?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Finite State Machine$

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

A skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many different skateboards can be constructed?
How many arrangements can be made from the letters of the word “mountains” if all the vowels must form a string?
If a man has 4 sweaters and 5 pairs of slacks, how many different outfit can he wear?
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
How many six-digit license plates can be made if no plate begins with 0 or 1?
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?
A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?