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?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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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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