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Find the number of subsets of the set

Question : Find the number of subsets of the set : 2151535

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the number of subsets of the set.

1) {3, 4, 5}

A) 7

B) 8

C) 6

D) 3

2) {0, 3, 4, 5}

A) 8

B) 4

C) 15

D) 16

3) {-10, 0, 10, 11, 12}

A) 32

B) 16

C) 5

D) 31

4) {0}

A) 1

B) 2

C) 0

D) 4

5) {mom, dad, son, daughter}

A) 12

B) 14

C) 16

D) 8

6) {math, English, history, science, art}

A) 24

B) 32

C) 28

D) 16

7) {x|x is a day of the week}

A) 127

B) 124

C) 256

D) 128

8) {x|x is an even number between 17 and 37}

A) 1024

B) 36

C) 32

D) 5

9) {1, 2, 3, . . . , 7}

A) 124

B) 256

C) 128

D) 16

Decide whether the statement is true or false.

10) {8, 16, 24, 32}∩{8, 24} = {8, 16, 24, 32}

A) True

B) False

11) {0, 1}∩∅ = ∅

A) True

B) False

12) {9, 18, 27, 36}{9, 27} = {9, 18, 27, 36}

A) True

B) False

13) {6, 14, 7}{7, 6, 14} = {6, 7}

A) True

B) False

14) {4, 6, 14}∅ = {4, 6, 14}

A) True

B) False

15) {11, 8, 4}∩∅ = {11, 8, 4}

A) True

B) False

16) {3, 5, 7}∩{4, 6, 8} = {3, 5, 7, 4, 6, 8}

A) True

B) False

17) {8, 9, 5}{8, 9, 5} = ∅

A) True

B) False

18) {3, 5, 7}∩{4, 6, 7} = {7}

A) True

B) False

19) {7, 9, 11}{8, 10, 11} = {7, 9, 11, 8, 10}

A) True

B) False

Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z}; and C = {v, w, x, y, z}. List the members of the indicated set, using set braces.

20) B'

A) {q, s, y, z}

B) {r, t, u, v, w, x, y}

C) {r, t, u, v, w, x}

D) {r, t, u, w, x}

21) BC

A) {q, s, v, x, y, z}

B) {q, s, y, z, v, w, x, y, z}

C) {y, z}

D) {q, s, v, w, x, y, z}

22) A∩B'

A) {t, v, x}

B) {q, s, t, u, v, w, x, y}

C) {u, w}

D) {r, s, t, u, v, w, x, z}

23) (AB)'

A) {s, u, w}

B) {r, t, v, x}

C) {r, s, t, u, v, w, x, z}

D) {t, v, x}

24) (A∩B)'

A) {t, v, x}

B) {s, u, w}

C) {q, s, t, u, v, w, x, y}

D) {r, t, u, v, w, x, z}

25) A'B

A) {q, s, t, u, v, w, x, y}

B) {q, r, s, t, v, x, y, z}

C) {s, u, w}

D) {r, s, t, u, v, w, x, z}

26) A(B∩C)

A) {q, w, y}

B) {q, r, w, y, z}

C) {q, s, u, w, y, z}

D) {q, y, z}

27) B'∩(AC')

A) {r, t, u}

B) {q, r, s, t, u, w}

C) {q, r, s, t, u, v, w, x, y}

D) {r, t, u, w}

28) C'A'

A) {w, y}

B) {q, s, u, v, w, x, y, z}

C) {q, r, s, t, u, v, x, z}

D) {s, t}

29) C'∩A'

A) {q, r, s, t, u, v, x, z}

B) {w, y}

C) {q, s, u, v, w, x, y, z}

D) {r, t}

Solution
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