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shaydouglas shaydouglas
  • 28-08-2015
  • Mathematics
Answered

Given A = {a, b, c}, how many subsets does A have including ∅?

A4
B7
C8

Verified Answer :

konrad509
konrad509 konrad509
  • 28-08-2015

A set of n elements has \(2^n\) subsets.

There are 3 elements in the set A, so the number of subsets is \(2^3=8\)

You can write them out:
\(\{\{\}, \{a\}, \{b\}, \{c\}, \{a, b\}, \{a, c\}, \{b, c\}, \{a, b, c\}\}\)

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