No idea what "Polya's 4 step reasoning process" is, but
given 3 elements, we can form 2^4 subsets. This includes the null set, which we want to exclude.
so 2^4 - 1 = 15
There are 15 subsets possible.
I am sure you can list those, I will do the subsets consisting of 2 elements:
AB, AC, AD, BC, BD, CD
A teacher wants to create groups of students working together or independently.
How many different subsets can she form? Use Polya's 4 step reasoning process to create groups containing 4, 3, 2, and 1 students then count how many subsets are available.
Choose a method to include ALL possibilities and show your work.
Students: { Abby, Ben, Chris, Dave }
Show all the possible subsets. Groups (subsets) should include all possible combinations of 1 student, 2 students, 3 students, and 4 students. A group of 0 students does not make sense in this situation.
1 answer
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