Homework Help is Here – Start Your Trial Now!
Math
Probability
1. Given 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 75E
See similar textbooks
icon
Related questions
Question

pls answer 1-3 on paper, thank you

Counting Techniques Test your understanding Apply the appropriate counting technique to solve for the following. 1. Given 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? 2. A basketball team is composed of 10 players. How many different selections are there if we are going to select a 5-member starting line-up and a team captain? 3. How many ways can 10 persons sit in a round table if two of them always sit together? 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many possible license plates can be issued? 5. How many possible iterations are there for the letters in the word mississippi? 6. How many possible winning numbers are there in a 6/45 lottery? 7. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are all even numbers and repetition of digits is not allowed? 8. How many subsets of length 5 are there for the set of consonants of the English alphabet? 9. A box contains 5 red balls, 4 green balls, and 7 blue balls. How many ways can we pick 2 balls with different colors? 10. On a typical keyboard, there are 26 small cap letters, 26 uppercase letters, 10 decimal digits, and 33 special characters. How many possible passwords 9 characters long can be generated using these options on the keyboard if a character can only be used once?
Transcribed Image Text:Counting Techniques Test your understanding Apply the appropriate counting technique to solve for the following. 1. Given 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? 2. A basketball team is composed of 10 players. How many different selections are there if we are going to select a 5-member starting line-up and a team captain? 3. How many ways can 10 persons sit in a round table if two of them always sit together? 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many possible license plates can be issued? 5. How many possible iterations are there for the letters in the word mississippi? 6. How many possible winning numbers are there in a 6/45 lottery? 7. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are all even numbers and repetition of digits is not allowed? 8. How many subsets of length 5 are there for the set of consonants of the English alphabet? 9. A box contains 5 red balls, 4 green balls, and 7 blue balls. How many ways can we pick 2 balls with different colors? 10. On a typical keyboard, there are 26 small cap letters, 26 uppercase letters, 10 decimal digits, and 33 special characters. How many possible passwords 9 characters long can be generated using these options on the keyboard if a character can only be used once?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS