Question

if A={x:x is a is a factor of 6} and write all the proper subsets​

Answer 1

Answer:

63

Step-by-step explanation:

The power set is a special set that contains all the subsets of a set A.

Example:

G={1,2}

P(G)={∅,{1},{2},{1,2}}

The cardinality of this example powerset is 4.

|P(G)|=4=2|G|

Your Original Question:

A={1,2,3,4,5,6}

n=|A|=6

|P(A)|=2n=26=64

However, you only want to know the number of proper subsets, the power set contains all valid subsets. There is only 1 subset of A we don’t want to use and that’s the one that’s equal to itself.

64−1=63

Set A has 63

proper subsets

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