) Suppose X = {1,2, 3} and Y = {5,6). The number of elements of the set P(X × Y) = %3D

Q: How many unordered selections of three elements can be made from the set {a, b, c, d, e, f}?

A:

Q: Suppose we want to choose 5 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

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Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

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Q: How many ways are there to choose two subsets A and B of [n] so that A ⊆ B, and |B| is even

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Q: Consider all subsets of size four of the set (1,2,3...20) how many of these have a nonempty…

A: Solution :-

Q: If p(A) =, p(B) = and p(A and B) =;, are A and B independent?

A: Given,P(A)=12P(B)=310P(A∩B)=45

Q: M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21…

A:

Q: What is the largest value of r for which N(2.2, r) is a subset of S = ( – 5, 3) U (1.7, 4.6) .

A:

Q: If set Z has 7 elements, how many subsets does it have?

A:

Q: 12. Let B be a subset of A. Let |A| = n and |B| = k. What is the number of subsets of A whose…

A: Given B⊂A. A=n and B=k Now if any subset C of A has 3 elements in intersection with B then C≥3 For…

Q: In a group of people we have 7 football player 5 baseball player 1 who is both football player…

A: Venn diagram is diagrammatic representation of similarities and differences between two concepts .…

Q: If "C, = K "C,, then K is n-1 %3D

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Q: ) Ifa group of 9 kids have won a total of 100 trophies, then at least one of the 9 kids has won at…

A:

Q: If P = {1, 2}, form the set P × P × P.

A:

Q: 4) Suppose there

A: Given, there are a million cars made by a car company across the globe, where the probability that a…

Q: Let X, Y subset U. Suppose that n(X)= 22, n(Y)= 20, and n(X intersect Y)= 16. How many elements are…

A: Let X,Y be subsets of U.  nX=22 , nY=20 and nX∩Y=16 It is given that nU=40. Find nX'∪Y:

Q: (d) Suppose two team members insist on either working together or not at all on projects. How many…

A: A computer programming team has 9 member. (d) Suppose 2 team member insist on working together or…

Q: a. Suppose that Natasha, Monim and Rehan a

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

Q: The number of non-empty subsets of B is |{S:SC A, S = 3 and Sn B = 0}| = max {|S|: SC AUB, SNA| is…

A: Given that A and B are finite sets satisfying A=6, B=7, A∩B=2. Since, B=7. So, total number of…

Q: The number of ways in which a committee of 6 members can be selected from 6 male and 4 female…

A: We have given that 6 male and 4 female parliamentarians. And we need to select 6 members for…

Q: In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read…

A:

Q: Suppose you are in a restaurant and the menu is as follows: 5 beverages, 7 appetizers, 10 main…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! A…

Q: Let A = {1, 2, 3, 4, 5}. How many subsets of A have no more than 3 elements?

A:

Q: How many subsets does the set  F = {3, 4, 5, 6, 7} have?

A: No. of subsets in a set: The number of subsets in a set containing n elements is given by 2n. No. of…

Q: f a family has 5 children, in how many different birth orders could the parents have a 3-boy, 2-girl…

A: Given, No of children=5  how many different birth orders could the parents have a 3-boy, 2-girl…

Q: Suppose you are in a restaurant and the menu is as follows: 6 beverages, 11 appetizers, 9 main…

A: We have 6B, 11A, 9M, 5D. Now, out of these available options, we need to select exactly one object,…

Q: Let V = {cities of Metro Manila} and E = {(x, y) |x and y are adjacent cities in Metro Manila}. %3!

A: Given: Let v= cities of Metro Manila  and E=x,y/ x and y adjacent cities in Metro Manila The…

Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1, 9, e, а, с, 0}, and C 3D {2, с, 10, 9, 8, —4,…

A: solution of the given problem is below...

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Explain why in a drawer containing only two different colors of socks one must draw only three socks…

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Q: Consider the word TORTOISE. Count the number of arrangements of this word (a) such that no two…

A: Consider the given word TORTOISE. The objective is to count the number of arrangements of this word:…

Q: Let S = {(x, y) E R X R: y - x = integer} List of four members of [-3]

A: GivenS=x,y∈IR×IR: y-x=Integernow-3=x∈IR: -3-x=Integernow, 1∈IR,2∈IR , 3∈IR and 4∈IRso the four…

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: Suppose A is a set for which |A| = 12. How many 5-element subsets of A are %3D there? (the number of…

A: Here given   A is set for which |A| = 12  So here no of elements in set A = 12

Q: Deter mine al subset relationships, amang the sets {1,2,3, 4? , {2.4,63, {2,4}, {X€NI<<63,Ø

A:

Q: 15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?

A: Solution : A set S has 11 elements We want to find subset of S have at most 2 elements

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: andomly selected from a

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Q: Suppose that X is a subset of Y, such that P(Y)>0. Is true or false that P(X|Y) is equal to…

A: It is given that X is a subset of Y This means that PX∩Y=PX...(i) The formula for PX|Y is given by:…

Q: Let A = {a, a, b, c} and B = {a, b, c}. Prove that A = B. Thus, the number of times an element is…

A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

Q: Blood types are classified on the basis of the presence of three antigens, A, B, and Rh. If you were…

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Q: O Question 5 B = {n|n EN and 317 Next Question

A:

Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: 2. If (x, y) is a sa

A: As per the guidelines, we are supposed to solve one question. Kindly repost the other question as a…