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# 3 if the n th digit of c n after the decimal point is

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3 if the n -th digit of c n after the decimal point is 5; 5 if the n -th digit of c n after the decimal point is 3. This defines a completely and ensures that a and c n have a different n - th digit after the decimal place. Therefore a can not be equal to c n for 13

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any n . Which is a contradiction since a C and the c n ’s enumerated all the numbers in C . This shows that C has a bigger cardinality than A (and hence than B ). The correct answer is (c) . 14
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