A secret code for a bank vault consists of 2 letters, then 4 digits and then 4 more letters. How many different codes are possible? Answer How many codes are possible if repeating letters and digits is not allowed? Answer: How many codes are possible if repeats are not allowed and the second letter must be 'U' and the third digit must be '6'? Answer: If the wrong code is entered the vault automatically locks and the alarm sounds. Suppose repeating letters and digits are allowed in the code. What is ther probability of a thief breaking into the vault if the thief has no prior knowledge of the secret code? Answer:
A secret code for a bank vault consists of 2 letters, then 4 digits and then 4 more letters. How many different codes are possible? Answer How many codes are possible if repeating letters and digits is not allowed? Answer: How many codes are possible if repeats are not allowed and the second letter must be 'U' and the third digit must be '6'? Answer: If the wrong code is entered the vault automatically locks and the alarm sounds. Suppose repeating letters and digits are allowed in the code. What is ther probability of a thief breaking into the vault if the thief has no prior knowledge of the secret code? Answer:
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.CT: Chapter Test
Problem 21CT: How many ways can 4 men and 4 women stand in line if all the women are first?
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Given information:
VIEWStep 2: Calculate total number of possible codes with repetition:
VIEWStep 3: Calculate total number of possible codes without repetition:
VIEWStep 4: Calculate total number of possible codes without repetition (2nd letter is U and 3rd digit is 6):
VIEWStep 5: Calculate probability of a thief breaking into the vault:
VIEWSolution
VIEWStep by step
Solved in 6 steps with 17 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning