2. 3. 3 Let A = {c, d, f, g}, B = {f, j}, and C = {d, g}. Answer each of the following questions. Give reasons for your answers. a. Is BCA? b. Is CCA? c. Is CCC? d. Is C a proper subset of A? a. Is 3 € {1, 2, 3}? b. Is 1 {1}? c. Is {2} = {1, 2}? d. Is {3} {1, {2}, {3}}? {1}? e. Is 1 = f. Is {2} {1, {2}, {3}}? g. Is {1} {1, 2}? h. Is 1E {{1}, 2}? i. Is {1} C {1, {2}}? {1}? j. Is {1}

2. 3. 3 Let A = {c, d, f, g}, B = {f, j}, and C = {d, g}. Answer each of the following questions. Give reasons for your answers. a. Is BCA? b. Is CCA? c. Is CCC? d. Is C a proper subset of A? a. Is 3 € {1, 2, 3}? b. Is 1 {1}? c. Is {2} = {1, 2}? d. Is {3} {1, {2}, {3}}? {1}? e. Is 1 = f. Is {2} {1, {2}, {3}}? g. Is {1} {1, 2}? h. Is 1E {{1}, 2}? i. Is {1} C {1, {2}}? {1}? j. Is {1}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Given a group of students: G={Allen, Brenda, Chad, Dorothy, Eric} or G= {A, B, C, D, E}, count the different ways of choosing the following officers or representatives for student congress. Assume that no one can hold more than one office. A treasurer and a secretary if the two must not be the same sex O 3 O 12 O 6 O 10 ASUS f4 f5 E3 f6 f7 f8 f9 f10 f11 & 4. 5 7 8 9. R Y 因 6 96 图

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q.6
1. Which set of phrases best describes A = {-3, -2, -1, 0, 1, 2, 3, ...)? O a. integers; greater than or equal to -3 O b. rational numbers; greater than -4 O c. numbers; greater than or equal to -3 O d. real numbers; greater than -4 2. If U = {2, 4, 6, 8, 10, 12, 14} and A = {2, 6, 10}, what is the cardinality fo A'? A. 3 b. 7 C. 6 D. 4
1. Find ÚA,, NA,, if A1 = {0,1,2, .}, A2 = {2,3, .. }, ., An = {n,n + 1,.. ,.. %3D ....
D. 120 D. 480 ciation grams ates 13. Which of the following expressions represents the number of possible ways choosing 3 different kinds of food from a menu of 10? 10! A. 10! C. (10-3)! (10-3):3! 10! set of B. D. (10-3)! 3! 10! es to attend 14. In how many ways can 8 people be seated n the class around a circular table if two of them insist on sitting beside each other? A.360 C. 1440 o the B. 720 D. 5040 15 In how many ways can 6 diamonds be arranged in a circular bracelet? C. 10 A. 4 D. 120 B. 6
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B. Given the set A = {1,2,3,4} and B = {1,{2},{3,4}}: 1. Enumerate the elements of A x B. %3D 2. Determine P(A) and P(B).
Determine whether the following pair of sets is equivalent. Justify your answer. {a, b, c, d,.., z} and {1, 2, 3, 4,.., 26} Are the sets equivalent? A. No, the two sets have a different number of elements. O B. No, the two sets do not have any of the same elements. C. Yes, both sets have the same number of elements. OD. Yes, both sets are subsets of larger sets.
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. B'n (AUC') O A. (q, r, s, t, u, v, w, x, y} O B. {r, t, u} Oc. (r, t, u, w} O D. (q, r, s, t, u, w)