Please solve the applied math problems in the attached file. Please show every step. Do not skip even one step. The right answer is already in the book, it is the step to the answer I need. (IF POSSIBLE, PLEASE DON'T USE HAND-WRITING)

Please solve the applied math problems in the attached file. Please show every step. Do not skip even one step. The right answer is already in the book, it is the step to the answer I need. (IF POSSIBLE, PLEASE DON'T USE HAND-WRITING)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

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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Give the cardinality of each set in Problems 11–20.
11. (48, 49, ., 189, 190} 143
(2. {16, 20, 24, ·, 400, 404} 98
...

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Please solve the applied math problems in the attached file. Please show every step. Do not skip even one step. The right answer is already in the book, it is the step to the answer I need. (IF POSSIBLE, PLEASE DON'T USE HAND-WRITING)
I. Identify the type of set (finite, infinite or empty) as described by the following: 1. A = {stars in the galaxy} 2. B = { } 3. C = (1, 2, 3, ...} 4. D = {negative integers} 5. E = {x/x > 5} 6. F = {0} 7. G = (multiples of 9} 8. H = (Greek letters} 9. | = {w, x, y, z} 10. J = {numbers less than 11}
#8. Thanks.
B. 1. {4} 2.12 xercises 1.2.2 universal set of the following sets. A = {1, 4, 5), B = {2, 3, 4) and C = {5, 6, 7} D=(2, 4), B = {6, 8, 10} A = { }, B = {a, b, c), C = {x, y, z) and D= {m, v, t} A = {prime numbers less than 20} and B = {composite numbers less than 20 5. A = {odd numbers less than 5} and B = {even numbers less than 5} Fill in each blank with E, E, C, Cor Z.. _{1, 2,4} {odd numbers} 3. (5, 6, 7}{6, 7,5} 4. {13} _{2, 4, 6, ...} 5. {c} {xx is a consonant letter} Listing the 6. {0} 7. {1} 8. { } 9. { } 10. red C. Classify each statement as TRUE or FALSE. If A = {1, 2, 3, 4, 5}, B = {2, 3, 4) and C = {2, 4, 5} 1. ACB 4. A CA 2. BCC 5. B CA 3. C&B 6. CCA {xx is a whole number} {{1}, {2}, {3}} Ø {xx is a herbivore that eats meat) {x|x is a primary color} 7. BCC 8.0 CA 9. A&C False 10. {} CB Topic relat U
Two different questions, same topic however.
2. Suppose N= {1,2,3...} is the universal set and A = {n :ns7} B = {n : 3s ns 10} %3D C = {2,4,6,8,10} D = {2,3,5,7,8} Find (i) (4©B)U(B®C) (ii) (4®C)U(B®D) (iii) BN(4®D)(iv) (ANB)®(AND) 3. Prove that a = b(mod7)is an equivalence relation by taking suitable examples. 4. Let p and q be positive integers and suppose F is defined as follows F(p.q)={" p< q\ F(p-q)+1_p2q find (i) F(2,5) (ii) F(12,5) (iii) What is work of F (iv) F(5861,7)
5. a. b. C. d. What is the cardinality of A, if A = 0? What is the cardinality of A, if A = {1,2,3}? What is the cardinality of P(A), if A = {1,2}? What is the cardinality of P(A), if |A| = 4?
1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the set q = {11, 12, 13, 14}? Show your work in the space provided.
What is the answer to number 3 , 4 and 5 ...... 1 and 2 is already answered
3.55. a) How many three-digit numbers with different digits are there formed by digits belonging to the set ${4,5,6,7,8,9}$ and at the same time greater than $666 ?b) How many three-digit numbers with different digits are there, formed from digits belonging to the set ${1,2,3,4,5,6,7}$ and at the same time smaller than $444 ?
8. Given the set B={2,3,4} such that (a,b) are the two numbers having the same parity therefore R2 is. R2=((2,2), (2,4),(4,2), (4,4),(3,3) R2={(3,3), (4,4), (1,1), (3,2)} R2=(0,0), (2,2),(3,2), (4,2)} R2=(1,0),(1,2), (3,3), (3,2) 9. Given set A={1,4,5) B={2,4, 8} such that a/b on the set of natural nuber if and only if there is some elements of natural numbers aRb={(4,2), (4,4), (4,8)) aRb={(4,2), (4,5), (4,4)} aRb=((4,2), (4,4), (4,6)} aRb=(4,2), (4,1), (4,3))
6. |{Xe 9({0,1,2,3,4,5,6,7,8,9}):|X|=4}|=