5. Alix and Billie are collecting rocks and seashells on the beach, and in total took 12 of them. There are 4 kinds: sharp rocks, round rocks, clam shells, and spiral shells. If we do not distinguish rock/seashells of the same type how many collections are possibles: (i) with no further condition? (ii) if they want at least 4 clams and 2 spiral shells? (iii) if they want at least one of each type and at most 3 round rocks? In the end, they collected 1 round rock, 2 sharp rocks, 4 clams, and 5 spiral shells (all colorful and very distinguishable), and want to distribute their loot between the two of them. Alix is to keep 2 rocks (round or sharp) and 4 shells (clam or spiral) and Billies takes the rest. (iv) How many different partitions can they make?

5. Alix and Billie are collecting rocks and seashells on the beach, and in total took 12 of them. There are 4 kinds: sharp rocks, round rocks, clam shells, and spiral shells. If we do not distinguish rock/seashells of the same type how many collections are possibles: (i) with no further condition? (ii) if they want at least 4 clams and 2 spiral shells? (iii) if they want at least one of each type and at most 3 round rocks? In the end, they collected 1 round rock, 2 sharp rocks, 4 clams, and 5 spiral shells (all colorful and very distinguishable), and want to distribute their loot between the two of them. Alix is to keep 2 rocks (round or sharp) and 4 shells (clam or spiral) and Billies takes the rest. (iv) How many different partitions can they make?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

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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