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a set has 62 proper subsets how many elements has it for?


Sagot :

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

[tex] {2}^{n} [/tex]

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

[tex] {2}^{n} = 64[/tex]

[tex] {2}^{n} = {2}^{6} [/tex]

Comparing both sides

[tex]n = 6[/tex]