Mathematics 1 Deneme Sınavı Sorusu #1195076

  1. Ø
  2. {a}
  3. {b}
  4. {c}
  5. {a, b}
  6. {a, c}
  7. {b, c}
  8. {a, b, c}

Let A = {a, b, c}. Which of the above are the subsets of A?


II, III and IV

III, IV, V and VI

V, VI, VII and VIII

I, II, III, IV, V, VI and VII

I, II, III, IV, V, VI, VII and VIII


Yanıt Açıklaması:

If A is a finite set and n is the number of its elements, that is s(A) = n, then the number of all subsets of A is 2n.

For example, if A = {1, 2, 3} then the subsets of A

are Ø, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}.

The set A has 23 = 8 subsets. Recall that, by convention, every set is its own subset, that is A ? A. The empty set Ø is a subset of any set.

As also understood from the information given the subsets of A are

Ø, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}, so the correct answer is E.

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