a. Is 2 E {2}? b. How many elements are in the set {2, 2, 2, 2}? c. How many elements are in the set {0, {0}}? d. Is {0} E {{0}, {1}}? e. Is 0 E {{0}, {1}}?

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Topic:- permutation and combinations

Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).

A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…

Q: If n(A) = 2, n(B) = 5, and n(A ∪ B) = 7, find n(A ∩ B).

A:

Q: 1. If you were to shade of the figure below, how many boxes would you shade?

A: Given:68

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: given A = {3,4} B = {x, y, z} Indicate the number of elements of AxB. Why AxB ≠ BxA?

A:

Q: If n(A) = 45, n(B) = 15, and n(A ∩ B) = 9, find n(A ∪ B).

A:

Q: If sets A and B are disjoint and |A|=7and |B|=8, what is |A∪B|+|A∩B|?

A: Here given that sets A and B are disjoint and A=7 and B=8 .We have to find A∪B+A∩B.

Q: If a, b, c, d, e are in A.P., then the value of    a–4b+6c–4d+e  is

A:

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: If n(A) = 120, n(B) = 110, and n(A U B) = 170, what is n(A n B)? %3D

A: Given;n(A)=120n(B)=110and n(AUB)=170

Q: ​Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

A: Given information A∩B=∅ n(A∩C)=2​ n(B∩C)=12 n(C−A)=20 n(A−C)=9 n(U)=31 We have to find the ​n(A),…

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: If n(A) = 40, n(B) = 22, and n(A ∩ B) = 4, find n(A ∪ B).

A: topic - sets

Q: If n(A) = 41, n(B) = 15, and n(A ∩ B) = 2, find n(A ∪ B).

A: We will use the following n(A U B) = n(A) + n(B) - n(A ∩ B)

Q: and

A:

Q: If n(A) = 44, n(B) = 23, and n(A ∩ B) = 8, find n(A ∪ B).

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

Q: a) How many possible values are there without restriction? b) How many begin with 1? c) How many…

A:

Q: -4)· (- 1 2 -4 1 -3 2 1 17 -31 (d) -2 -4 16 16 9 10 -8 e? This set is

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: n(A) = 64, n(B) = 23, and n(A ∩ B) = 5, find n(A ∪ B

A: We will solve the set question.

Q: w Many non-trivial Subgtaps in S,? b) 3 c) 4 d) 5

A: Given group is S3 S3=3!=6. In total, there are 6 elements in group S3 Elements of group S3 are:…

Q: (2n)! Let a, = then 'n n!n* 1 а) а, > e 2 b) а, > e 4 с) а, > c) an e d) а, > о

A: To find -  Let an = 2n!n! nn1n, then ?

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: If n(A) 108, n(A U B) = 155, and n(A n B) = 43, find n(B).

A: Given: n(A)=108, nA∪B=155 and nA∩B=43.

Q: If n(A) = 45, n(B) = 18, and n(A ∩ B) = 7, find n(A ∪ B).

A: Given that  n(A) = 45, n(B) = 18, and n(A ∩ B) = 7. We find n(A ∪ B).

Q: if n(A u B) = 97 and n(A) = n(B) = 67, find n(A n B).

A:

Q: If n(A) = 104, n(A U B) = 141, and n(A n B) = 42, find n(B).

A:

Q: If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

A: Hi there! Since there are two different questions we will solve one question for you. As the first…

Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = <-4, 7>, what is v(n-m)?

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: a4 (a) In (b) In Va'b'c :

A: Given that  lna=2,lnb=3 and lnc=5 To find the following logarithmic functions

Q: for how many n E {1,2,.......,660} is in a multiple of one or more of 9,2, and 5

A: Image is attached with detailed solution.

Q: If n(A) = 47, n(B) = 19, and n(A ∩ B) = 4, find n(A ∪ B)

A:

Q: If n(A) = 46, n(B) = 21, and n(A ∩ B) = 6, find n(A ∪ B).

A:

Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A).

A:

Q: If n(A) = 44, n(B) = 21, and n(A ∩ B) = 2, find n(A ∪ B).

A: Union of sets A and B

Q: n(A) = 47, n(B) = 15, and n(A ∩ B) = 8, find n(A ∪ B). n(A ∪ B)=

A: Given: n(A)=47 n(B) = 15 n(A ∩ B) = 8

Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: If n(A) = 101, n(A ∪ B) = 144, and n(A ∩ B) = 49, find n(B).

A:

Q: Given that a = (2, -3) , b = (3, 4) and c = (-1, 5) find the number.

A: Given: a = 2, -3, b = 3, 4, c = -1, 5  To find: The numbers, a) b·a-cb) b·a - b·c

Q: Given that a = (2, -3) , b = (3, 4) and c = (-1, 5) find the number.

A: Given: a=2,-3, b=3,4 and c=-1,5

Q: n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 47, find n(B)

A: