5.6.35. Prove that the set of all finite subsets of N is a countable set. Hint: For each k = NU {0}, define Ak to be the collection of all finite subsets of N whose elements add up to k. For example: A5 = {{1,4}, {2,3}, {5}}, A6 = {{1,2,3}, {1,5}, {2,4}, {6}} .

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A: Here each xi is a positive integer and 1≤x1≤x2≤...≤xk≤n.

Q: B. Let N be the set of natural numbers, A = {1, , , , ...}, B = { ½ : 1 ≤ x ≤ 10, where a € N} .…

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Q: Represent in the Argand Diagram all such z for which |z + 13| < 15

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Q: Let A, B and C be sets. Prove that if B- A CC-A then AUBCAUC.

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Q: The universal set U is defined as the set of positive integers less than 10. The subsets A and B are…

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Q: For any integer n ≥ 4, determine the number of hexadecimal strings of length n in which the digit A…

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A: Here given   A is set for which |A| = 12  So here no of elements in set A = 12

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A: Given Information: U=1,2,3,4,5,6,7,8,9 A=n∈U | n is odd B=n∈U | 2n+1 is a prime number

Q: How many elements does the set A = {ax is a natural number and x < 10} have?

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