Please, answer the following question. I will vote up. Thanks Using the sets X =

Question

Please, answer the following question. I will vote up. Thanks

Using the sets X = {a, b, c, d} and Y = {c, d, e, f, g}, write your answer to each question in the space provided. (Note that you are being asked "How many...?", so your answer will be an integer.) How many members does the power set of X have? Answer: How many proper subsets does Y have? Answer: How many ordered pairs does the set X times Y have? Answer: How many elements does the set Y - X have? Answer: Suppose that sets A and B are subsets of the universal set U. And suppose that A is a subset of B. Fill in the blanks. Your answer for each part will be A, B, U, or phi. (A Intersection A^-) Union B = (B Intersection U) Union A = A - B =

Explanation / Answer

1) power set = 2^n = 2^4 = 16

b) proper subset = 2^n -1 = 2^4 -1 = 15

c) X * Y = mn    {m is size of X , n is size of Y}

= 4*5 = 20  

d) Y - X is set of elements which is in Y , but not in X

that is {e,f,g}

hence 3

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