Mathematics & Statistics
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2. Let P be the set of all polynomials with integer coefficients and
Pn = {ƒ € P: ƒ has degree n} for n € N.
Prove that Pn and P are countable.
3. Let S be the collection of all sequences whose are the integers 0 and 1. Show that
S is uncountable. (Hint: refer the proof that (0, 1) is uncountable)
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