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Let B = {5, {5, 7}, {5, 6, 7}, {7}, 7}. a. What is |B|? b. Which of the followin

ID: 3144073 • Letter: L

Question

Let B = {5, {5, 7}, {5, 6, 7}, {7}, 7}. a. What is |B|? b. Which of the following are true? {7} elementof B {5, 6, 7} Subsetequalto B 6 elementof B {5, 7} Subset B {5, {5, 7}, {5, 6, 7}, {7}, 7} Subsetequalto B {5, {5, 7}, {5, 6, 7}, {7}, 7} Subset B Roger has all of the set of all kings K = {Hearts (H), Diamonds (D), Spades (S), and Clubs (C)} from a standard deck of cards and a standard 6-sided die D = {1, 2, 3, 4, 5, 6}. Use the Cartesian product to determine the possible outcomes if one king is drawn from the set of cards and the die are rolled once.

Explanation / Answer

A) |B| means number of distinct element in B which is 5

B)

a) true

b) true

c) False 6 is the not a pat of B

d) true

e) true

f) true

2)

one king drawn at random in 4 ways and die is rolled then there is 6 possible outcome

Thus for each king from the card there are 6 outcome from die

Thus possible outcome are KD = { H1,H2,H3,H4,H5,H6

D1,D2,D3,D4,D5,D6

S1,S2,S3,S4,S5,S6

C1,C2,C3,C4,C5,C6 }

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