Let S = {1, 2, 3, ... , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of the following sets: (a) S UC (b) A U B (d) A’ N C (c) A’U (B N C) (e) (A N B) U (B N C) U (C N A)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Let S = {1, 2, 3, ... , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of
the following sets:
(a) S U C
(b) A U B
(d) A’ N C
(c) A’U (B N C)
(e) (A N B) U (B N C) U (C N A)
2. If S = {x | 0<x< 10}, A = { x | 1<x<5}, B = { x | 1<x<6}, and C = { x | 2<x <7}
(a) S UC
(b) A U B
(d) A’ N C
(c) A'U (B N C)
(e) (A N B) U (B N C) U (C N A)
3. A coin is tossed 3 times. Use a tree diagram to determine the various possibilities that can arise.
4. Three cards are drawn at random (without replacement) from an ordinary deck of 52 cards. Find
the number of ways in which one can draw (a) a diamond and a club and a heart in succession, (b)
two hearts and then a club or a spade.
5. It is required to seat 5 men and 4 women in a row so that the women occupy the even places.
How many such arrangements are possible?
Transcribed Image Text:1. Let S = {1, 2, 3, ... , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of the following sets: (a) S U C (b) A U B (d) A’ N C (c) A’U (B N C) (e) (A N B) U (B N C) U (C N A) 2. If S = {x | 0<x< 10}, A = { x | 1<x<5}, B = { x | 1<x<6}, and C = { x | 2<x <7} (a) S UC (b) A U B (d) A’ N C (c) A'U (B N C) (e) (A N B) U (B N C) U (C N A) 3. A coin is tossed 3 times. Use a tree diagram to determine the various possibilities that can arise. 4. Three cards are drawn at random (without replacement) from an ordinary deck of 52 cards. Find the number of ways in which one can draw (a) a diamond and a club and a heart in succession, (b) two hearts and then a club or a spade. 5. It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?
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