A = {0, 1} మరియు B = {1, 0} అయితే, A × B దేనికి సమానం?

  1. {(0, 1), (1, 0)}
  2. {(0, 0), (1, 1)}
  3. {(0, 1), (1, 0), (1, 1)}
  4. A × A

Answer (Detailed Solution Below)

Option 4 : A × A
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భావన:

A = {a, b} మరియు B = {c, d} అనుకొనుము

A × B = {(a, c), (a, d), (b, c), (b, d)}

 

లెక్కింపు:

ఇక్కడ, A = {0, 1} మరియు B = {1, 0}

∴ A × B = {(0, 1), (0, 0), (1, 1), (1, 0)} మరియు

A × A = {(0, 0), (0, 1), (1, 0), (1, 1)}

∴ A × B = A × A

కాబట్టి, ఎంపిక (4) సరైనది.

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