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5. Michael wants to create password consisting of four letters followed by three digits. He wants the password to start with C, D, Y or Z and end with 4, 0 or 3. The letter part can have repetitions, but the digit part cannot have repetitions. How many different codes can he create?

5. Michael wants to create password consisting of four letters followed by three digits. He wants the password to start with C, D, Y or Z and end with 4, 0 or 3. The letter part can have repetitions, but the digit part cannot have repetitions. How many different codes can he create?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. Michacl wants to create password consisting of four letters followed by three digits. He wants the password to start with C, D, Y or Z and end with 4, 0 or 3. The letter part can have repetitions, but the digit part cannot have repetitions. How many different codes can he create? 6. 20 students from American River College and 12 students from Woodland College attend a new student orientation. At the end of the event, 8 students will be chosen to receive $20 gift certificates to Jamba Juice. a. How many ways can the 8 students be chosen? b. How many ways can the 8 students be chosen so that all 8 are from American River College? 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3 children need to sit in the middle with 5 adults on either side. How many ways can the family seat themselves? 8. License plates in a certain state follow the format: four letters, followed by three digits. In addition, the letters Q, O, S, I, D are not allowed. If repetitions are allowed, how many different license plates are possible?
Transcribed Image Text:5. Michacl wants to create password consisting of four letters followed by three digits. He wants the password to start with C, D, Y or Z and end with 4, 0 or 3. The letter part can have repetitions, but the digit part cannot have repetitions. How many different codes can he create? 6. 20 students from American River College and 12 students from Woodland College attend a new student orientation. At the end of the event, 8 students will be chosen to receive $20 gift certificates to Jamba Juice. a. How many ways can the 8 students be chosen? b. How many ways can the 8 students be chosen so that all 8 are from American River College? 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3 children need to sit in the middle with 5 adults on either side. How many ways can the family seat themselves? 8. License plates in a certain state follow the format: four letters, followed by three digits. In addition, the letters Q, O, S, I, D are not allowed. If repetitions are allowed, how many different license plates are possible?
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