Counting Elements in Sets: Steps Included

Thread starter Madonna M.
Start date Oct 4, 2013
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Counting Elements Sets

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The discussion focuses on determining the number of elements in various power sets. The first set, P({a,b{a,b}}), involves calculating the power set of a set containing distinct elements. The second set, P({∅,a,{a},{{a}}}), requires analyzing a set with nested elements and the empty set. The third set, P(P(∅)), involves finding the power set of the power set of the empty set. Participants are encouraged to share their attempts and reasoning to clarify the solutions.

Oct 4, 2013

Madonna M.

How many elements does each of these sets have where a and b are distinct elements? (with steps please)

a) P({a,b{a,b}})b)P({∅,a,{a},{{a}}})
c)P(P(∅))

*i have tried to solve them but i am a little bit confused...

Thanks in advance :)

Last edited: Oct 4, 2013

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Oct 5, 2013

haruspex

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Pls post your attempts at solution, including any reasoning.

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