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 letterpart can have repetitions, but the digit part cannot have repetitions. How manydifferent codes can he create?6. 20 students from American River College and 12 students from Woodland College attenda 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 AmericanRiver 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 canthe family seat themselves?8. License plates in a certain state follow the format: four letters, followed by three digits. Inaddition, the letters Q, O, S, I, D are not allowed. If repetitions are allowed, how manydifferent license plates are possible?

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Answered: 5. Michael wants to create password…

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. 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?