For a given universe U, let AC where A is finite with |P(A) = n. If...

 

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For a given universe U, let AC where A is finite with |P(A) = n. If BCU, how many subsets does B have, if (a) B = AU {x}, where xe UA? (b) B = AU {x, y}, where x, y EU-A? (c) B = AU {x₁, x₂, ..., xk), where X1, X2, ..., xk € U - A? For a given universe U, let AC where A is finite with |P(A) = n. If BCU, how many subsets does B have, if (a) B = AU {x}, where xe UA? (b) B = AU {x, y}, where x, y EU-A? (c) B = AU {x₁, x₂, ..., xk), where X1, X2, ..., xk € U - A? For a given universe U, let AC where A is finite with |P(A) = n. If BCU, how many subsets does B have, if (a) B = AU {x}, where xe UA? (b) B = AU {x, y}, where x, y EU-A? (c) B = AU {x₁, x₂, ..., xk), where X1, X2, ..., xk € U - A?