Let Ss act on the set X of all subsets of {1, 2, 3, 4, 5} in the natural way. Note that X has 32 elements, each of which is a subset of {1,2, 3, 4, 5}, of differing cardinalities. Find {n : 3x EX such that |0(x)| n}. Enter this set as a comma separated list. n =

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Let S5 act on the set X of all subsets of {1,2, 3,4, 5} in the natural way. Note that X has 32 elements, each of which is a subset of
{1, 2, 3, 4, 5}, of differing cardinalities.
Find {n : 3x E X such that |0(x)| = n}. Enter this set as a comma separated list.
n =
Transcribed Image Text:Let S5 act on the set X of all subsets of {1,2, 3,4, 5} in the natural way. Note that X has 32 elements, each of which is a subset of {1, 2, 3, 4, 5}, of differing cardinalities. Find {n : 3x E X such that |0(x)| = n}. Enter this set as a comma separated list. n =
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