4. Let A = {a,b,c} a. List all subsets of A. {A}{B}C A B ACBC ABC b. Use the formula to verify your answer in part (a) above.

Q: 2. Determine in each case whether ACB. Explain each answer in one sentence. (a) A = {0, 2, 5} and B…

A: Answer  A) A is improper subset of B

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: Perform. the operatben 0 possible; AxB not A= B= 2 0 3 3 4)

A: The given matricesA=221-1 and B=12-103-4

Q: If A ={a,b,c} and B= {1,2}, find the Cartesian product, B X A Find the power set, P(A) Find the…

A: We will find out the required value.

Q: 24 Consider a set {1, 2, 3, ..., 19, 20}. How many subsets of 6 elements a) contain four even and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Use the given information to find n(A x B) and n(B x A). n(A) = 33 and n(B) = 4 Find the number of…

A: If we have two sets A, B such that  the cardinality of A =m and, the cardinality of B =n then, the…

Q: need

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: 1) Let A = {1,2,3,4,5} Determine whether the statements are true or false. a. 2ЄA b. A is a subset…

A: A = {1, 2, 3, 4, 5}a. 2  A   This means 2 is in the set A.    Obviously this is True. b. A is a…

Q: Set A = | { 2, 2, 4, 5,1,2,6,9, 4, 5, 6, 2 } |. How many elements are in this set?

A: We have to find number of elements in set A

Q: Use the given information to find n(A× B) and n(B × A). n(A) = 67 and n(B) = 4 Find the number of…

A: Note:- Cartesian product of two sets is obtained by pairing each element of first set with each…

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

A:

Q: 5. 10 cars are to be parked in an open field containing 20 parking spaces set out in two rows of 10.…

A: How many different patterns of unoccupied spaces are available if :-

Q: Prove or disprove: if a, b, c e N, then a2 - 6 + 4c + 2.

A: a2-b2≠4c+2 we have to prove this relation in three cases like a<b,a>b and a=b

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: How many are in set B?

A: Given:

Q: Simplify. 4n + 3(n - 5) + 2 n + 6 13-ח 7n- 13 7n+ 6 Done Ysheed in any manner wmour epress enen…

A:

Q: Find the following expression, if not defined, give the reason why. a.) 14B – 3B

A:

Q: let a, b, c, d, four consecutive positive numbers show that g.c.d (a, b, c, d)=1

A: Given :- a, b, c, d, four consecutive positive numbers. As a,b,c,d are consecutive positive numbers…

Q: How many are in set A?

A: According to given universe set, total numbers in set A will be nA=15+2+5+3=17+8=25

Q: B AUBNC: Au BNC: 12 6 6 17 13 U How many elements are contained in each of the following sets?

A: From the above venn-diagram, we have  U={6,10,11,12,13,17}. A={6,10,12,17}. B={6,12,17}.…

Q: Let B : and i Then (7)8

A:

Q: Write out the following set by listing its elements between set brackets.( {r, s}^2 × {a} ) × {c, d}

A: The given equation to be solved is:

Q: 10. Rewrite each subtraction question as an addition question (meaning the answers remain the same)…

A: Given; a)-10-(-8) b) 3-(-7) c) -6-0 d) 0-10 e) -8-6 f) -15-(-5).

Q: A: B: C: A U : 18 AnBnC: B An (CUB): 11 10 14 20 How many elements are contained in each of the…

A: Given sets is

Q: Set A = |{ { A, B, }, {5,1 }, {1,3,5 }, { 3}, { 2,3} }|.  How many elements are in this set?

A: We have to find number of elements in set A

Q: Use the following sets: A={Factors of 50} B={odd numbers} Which elements are found in A∩B?

A: A={Factors of 50} = { 1,2,5,10,25,50}  B={odd numbers} ={1,3,5,7,9,11,......}

Q: Let A = {0, 1,6, 8, 13} and B = {1, 6, 13}. How many sets C have the property that CCA and BCC.

A:

Q: Prove the following statement: For any positive integers a, b, c and d: a+2cd or b-a2d if and only…

A:

Q: If d is g(a, b) and c is another natural number which also divides both a and b. Then c also divides…

A: Given that c divides a and b ,d belongs to( a ,b) so assume a,b are 4,8 and c is 2 and d is 6

Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: a. What is P(A|B)? P(A and B)/P(B)=. b. What is P(B|A)? P(A and B)/P(A)= Are A and B independent? C.…

A: a) The required probability is calculated as follows: P(A|B) = P(A and B)/P(B)             =…