How many ways can n books be placed on k distinguishable shelves a) if the books are indistinguishable copies of the same title? b) if no two books are the same, and the positions of the books on the shelves matter?

Q: Use a) and b) to find A-1

A: Let's find inverse of A from given results a and b.

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

A:

Q: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

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Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

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Q: In a stack of cards, each card has a number and letter on opposite sides. You are told that all…

A: Each card has a number and a letter on opposite sides. Any number that is even as well as divisible…

Q: Consider the table below: 3 6 2 5 15 236 I 523,6 ii) 10 21 0,015236 33 122 a) Fill in the missing…

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Q: iv C = {1,2, 3} v How many elements are in the powerset of N = {1,2, 3,... ,n} for some n E N?

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