2. Using roster notation, create a set that contains (a) 3 elements nedu alodW to sa8 od (b) 5 elements (c) 7 elements goib 3. Using set builder notation, create a set that contains (a) 6 elements (b) 8 elements etegedal to ho8 ad (c) 10 elements

Q: How many distinct proper subsets are there of the set N = {6, 44, 62, 14, 40, 51, 23}?

A:

Q: How many distinct proper subsets are there of the set N = {9, 46, 69, 18}?

A:

Q: Let E equal the set of countries who have won more than 300 Silver medals. Write the set E using the…

A: Consider the Table given below :

Q: 15. Identify the type of set (Finite, Infinite, Empty): a. "The Intersection of Even Numbers and…

A: Dear student,                     According to our guidelines we are supposed to answer only first…

Q: Name the shaded region using correct set theory notation. * U A В C

A:

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A:

Q: How many arrangements are there?

A: Solution:

Q: What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?

A: The set contains 6 elements . We know that number of subsets of set of n elements is 2^n. So given…

Q: a) If there are no two donuts of the same variety b) If there is no restriction c) If there must be…

A:

Q: Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor…

A:

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that, Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Let A=( a, e, i, o, u, ) a) How many proper subsets will A have? b) How many 3-elements subsets will…

A:

Q: ifferent ways can the letters

A: To find :  To find different ways can the letters of the word 'JUDGE' be arranged such that the…

Q: How many people only cycled if 1978 took public transit, 1494 drove, 818 cycled, 731 took public…

A:

Q: Consider selecting two elements, a and b, from the set A = {a, b, c, d, e}. List all possible…

A: All possible subsets having 2 elements of given set A ={a,b,c,d,e}  Are given below

Q: 5. Write the set {0, 3, 12, 27, 48, 75 ...} in set builder notation

A:

Q: (a) In how many different ways can the letters of the word combine be arranged? (b) In how many…

A:

Q: 20. How many subsets of (a, b,c, d, e, f, h, i) are there? Show how you determined i D. Write each…

A:

Q: Let A₁ = {1, 2, 3, 4, 5, 6}, A2 = {7, 8, 9, 10, 11, 12, 13} and {14, 15, 16, 17, 18, 19}. A3 = How…

A: Let A1=1, 2, 3, 4, 5, 6, A2=7, 8, 9, 10, 11, 12, 13 and A3=14, 15, 16, 17, 18, 19.   To Find: How…

Q: How many proper subsets does the set R, colors of the rainbow, have? R={ red, orange, yellow, green,…

A: We have to find the number of proper subsets does the set R, colors of the rainbow, have R={ red,…

Q: Consider selecting two elements, a and b, from the set A = {a, b, c, d, e}. List all possible…

A: The given set is: A={a,b,c,d,e}

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: We want to find nA∪B'

Q: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if…

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

Q: 36. Let the universal set U = {r | x is a non-negative integer}. Let A = {x E U | x is divisible by…

A:

Q: There are 18 marketing executives in the group. The number of ways 17 executives can be selected…

A:

Q: 17. Use the Roster/Tabular set notation to describe the following sets: O={Odd Number 20} P={Prime…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Specify the sets by roster. (a) {Distinct letters in the word tote}         (b) {Counting numbers…

A:

Q: Some nonempty set has 211, at most two-element subsets. how many elements does this set have?

A: The number of ways, to select r number of different objects, from n number of different objects, can…

Q: Describe the following sets using the roster method and rule method.

A: In this question, we need to  Describe the following sets using the roster method and rule method.…

Q: How many distinct proper subsets are there of the set N = {9, 41, 68, 17, 33, 54}?

A: Number of the proper set = 2n -1

Q: 4.The set of integers from 1 to 10 that is divisible by 3.

A:

Q: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

A:

Q: 12 In how many ways can a starting line up composed of 5 players be selected from a team with 14…

A: It is given that n=14 and r=5.

Q: A set contains nine elements a) How many subsets does it have? b) How many proper subsets does it…

A:

Q: 37. Let the universal set U = {x | x is a non-negative integer}. Let A = {x EU | x is divisible by…

A:

Q: 11. If there are 90 people, can there be at least 2 who have the same first digit of a cell number…

A: given , 90 people  we have to find can there be at least 2 people whose first and last digit of cell…

Q: How many distinct proper subsets are there of the set N = {7, 44, 68, 19, 32, 54, 25}?

A: This question is about set theory

Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10.…

A: To decide whether P is a subset of Q or the other way

Q: License plates in China begin with a Chinese character designating the province, followed by a…

A: We have 1 character for the Chinese Province which we won't consider as we want only for the case of…

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: Solution: Given that S = (Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka…

Q: Let A denote the set of all 4 digit numbers that are divisible by 3, and B denote the set of all 4…

A: Given, A denotes the set of all 4 digit numbers that are divisible by 3 B denote the set of all 4…

Q: Let A = {8, 9, 10, 11, 12, 14, 15, 16}. How many subsets does A have? How many proper subsets does…

A:

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A:

Q: Find the number of subsets of the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} having 4 elements. * 340…

A: Find the number of subsets of the set 1,2,3,4,5,6,7,8,9,10,11 having 4 elements

Q: Let  A1 = {1,2,3,4,5}, A2 = {6,7,8,9,10,11,12} and A3 = {13,14,15,16,17,18,19}.  How many non-empty…

A:

Q: 9. Jse set builder notation to express the set (1, 4, 7, ..., 298, 301).

A:

Q: 11 How many 6-letter words (even without meaning) can be created from the letters of the word…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 3. Let Si = {A, B, C, D, E}, S2 = {H, F, D, B}, S3 %3D {В, Е, Н, К}. (a) Write a set expression that…

A: Given, S1 = A, B, C, D, ES2 = H, F, D, BS3 = B, E, H, K

Q: How many possible unique deck orders can w • 1, 2, 3, 4, 5, 6, 7 to • 2, 6, 1, 7, 4, 3, 5 O 3 O 9 10…

A: Given numbers: 1, 2, 3, 4, 5, 6, 7.

Q: 1.Consider the following sets, A=The set of odd numbers from 0 to 12. B-The set of letters in the…

A: