Answered: Let A1 = {1,2,3,4,5}, A2 =…

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 sets are there which are a subset of A1 or a subset of A2 or a subset of A3?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} be the universal set,…

A: The set B' is calculated using the formula, B'=S-B .

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

Q: create all the subsets of B= {2,3,5,7,11} and place it in a power set

A: The objective of this question is to create all possible subsets of the set B= {2,3,5,7,11} and…

Q: A set contains eighteen elements. How many subsets containing six elements each can be formed from…

A: Since the order in which elements are arranged doesn't matter so use the combination rule to…

Q: Let U = { 14, 15, 16, 17, 18, 19, 20 }, A = { 14, 16, 18, 20 }. Use the roster method to write the…

Q: How many subsets with an odd number of elements does a set with 12 elements have?

A: Given that a set contains 12 elements. We need to calculate the total number of subset with an odd…

Q: How many unordered sets are there of six items chosen from eight? ?sets

A: The different groups that can be formed by choosing r things from a given set of n different thing…

Q: How many subsets are there of the set N = {9}?

A: Given, The set is N=9We know that, The number of subsets of a given set is 2n ;…

Q: How many distinct four-letter "words" can you form using all the letters of SETS?

A: We have to find no of distinct four letter can be formed using all letter of word SETS.

Q: A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5…

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

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 subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: List all the subsets of the set {I, D, E, A}

A: Answer -Find the list of all the subsets of the set {I, D, E, A}

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: From the given information, The universal set U with 66 elements has been partitioned into three…

Q: Let S={1,2,3,4,5,6,7,8,9,10,11} How many subsets contain at least one odd number?

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

Q: If the union of two sets is countable, then each set is also countable.

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

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

Q: How many subsets is obtained from a set with 5 elements?

A: Given n=5

Q: How many unordered sets are there of two items chosen from four? ?sets

A: We have to find number of unordered sets of two items chosen from four items.

Q: A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the…

A: We have given that A basket holds a set of balls. Each ball is red, green, or blue. How many balls…

Q: Explain whether the following sets are closed under addition. F={5,6,7,8,9,10,…}

A: We Know that A set is closed under addition if the sum of any two members of the set is also in the…

Q: A set contains fourteen elements. How many subsets can be formed from this set?

A: Given that A set contains fourteen elements. To find How many subsets can be formed from this set

Q: How many unordered sets are there of four items chosen from eight

A: According to the given information in this question We need to find the value of C(8,4)

Question

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 sets are there which are a subset of A₁or a subset of A₂or a subset of A₃?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Given that

VIEW

Step 2 Number of non empty subsets of A1

VIEW

Step 3 conclusion

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

How many subsets are there of the set N = {1, 44, 65, 11, 39, 53, 26}?
Select all of the sets below that are equivalent to {gila monster, grizzly bear, zebra, bison, monkey, orangutan} {bison, grizzly bear, zebra, gila monster, monkey, orangutan} {Tommy Dreamer, Terry Funk, Kane, Jeff Jarrett, Barry Windham, The Pitbulls} {orangutan, rat, rhinoceros, tapir, goat} {Chocolate Almond, Pistachio, Caramel, Praline Pecan, Chocolate Marshmallow, M&M's} {gila monster, grizzly bear, zebra, monkey, orangutan}
E = {2, 4, 6, 10} is a subset of which of the following sets? A = {1, 2, 4, 7, 10, 11, 9, 6} B = {2, 4, 6} D = {4, 6, 8, 10, 12,...} C = {1, 2, 3, 4, 5, 7, 8, 9, 10}
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))
Let U= {1,2,3,4,5,6,7,8,9} A= {2,4,6,8} B= {1,2,3,4} and C= {5,7,9} Give a set, D, that is equivalent to C, but not equal to C. I am confused on the difference and how to proceed with this.
How many subsets are there of the set N = {7, 50, 69, 12, 36, 57, 29}?
What are all the proper subsets for {a, b, c}?
How many different 5-block (5-part) partitions can be made of the set A = {1,2,3, 4, 5, 6}.
Suppose that A = {2,4, 6}, B = {2,6}, C = {4, 6} and D = {4,6, 8}. Determine which of these sets are subsets of which other of these sets. Check ALL correct answers below. ОА. ВС А O B. DC B OC. ACD OD. DCA O E. CCA OF. ACB OG. ACC OH. CC D O1. BC D OJ. BCC OK. DCC
A universal set U with 156 elements has been partitioned into three subsets, A, B, and C. If B is 5 times the size of A and C is 4 times the size of B, then how many elements are in B? (A) 7 (B) 30 (C) 36 (D) 120 (E) 156 (F) 5 (G) 31 (H) 6 OA OB D. O E OF H.