A class has 7 recitation sections. 3 of the recitation sections are led by a pair of TAs, and 4 recitation sections are led by a trio of TAs. There are also 2 TAs who do not teach recitation. How many ways are there to line up all of the TAs such that each TA with a recitation partner(s) is standing next to them? How many 8 digit strings contain the digit 5 exactly once, the digit 2 exactly twice, and the digit 7 exactly thrice? Leading Os are allowed.
A class has 7 recitation sections. 3 of the recitation sections are led by a pair of TAs, and 4 recitation sections are led by a trio of TAs. There are also 2 TAs who do not teach recitation. How many ways are there to line up all of the TAs such that each TA with a recitation partner(s) is standing next to them? How many 8 digit strings contain the digit 5 exactly once, the digit 2 exactly twice, and the digit 7 exactly thrice? Leading Os are allowed.
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:A class has 7 recitation sections. 3 of the recitation sections are led by a pair of TAs, and 4 recitation
sections are led by a trio of TAs. There are also 2 TAs who do not teach recitation. How many ways are
there to line up all of the TAs such that each TA with a recitation partner(s) is standing next to them?
How many 8 digit strings contain the digit 5 exactly once, the digit 2 exactly twice, and the digit 7 exactly
thrice? Leading Os are allowed.
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