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

Transcribed Image Text: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:
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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:
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