Write all permutation for ABC. (Consider as a letter A, B,C).

Q: Let A=\ June, Janet, JillJeffrey, Jello) and B=\ Janet, Jello, Justin). Find n(A cup B)

A: The elements of the set (A U B) are the elements which either in A or in B or in both.

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

Q: let A= {1,2}, B={2,4,6}, R: A? =B, then find R

A: By use of simple Relation Methodology

Q: If C = {-13, - 6, 1, 8, 15, ..), find C

A:

Q: 8. Let A = {Al, Beth}and B = {up, down, left, right}. Fine %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: Which of the following are con. and which div.? 1.{ 2

A:

Q: Let X-Bin(5,0.5), then P(x >3|x >2) is

A:

Q: let A {a, b} and B = {4, 5, 6}. %3D

A: A=a,bB=4,5,6 To find : a A×Ab B×B

Q: abc and bca are the same permutation * T.

A: yes , ABC and BCA are the same permutation.

Q: the Pasition at if when X=2, O= 25

A:

Q: Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find B − A.

A: In the given question we have to find the set B-A , where A ={a,b,c,d,e} and B={a,b,c,d,e,f,g,h}.…

Q: What is A  what is b

A: Here, the y-coordinates of the graph are the same. The graph stretched horizontally by 3 units and…

Q: -1, 2, 7, 14, .. Find a,

A:

Q: If P = (10,6), Find: Do.5 (P)

A:

Q: Write P if the given situations are describing Permutation and C, if tells about Combination.…

A: Since you have posted multiple sub-parts of  question , we will solve first three sub-part of…

Q: Is {4, 5} c S, where S is the powerset of {2, 3, 4, 5, 6}?

A:

Q: In a party, we have  30  people who are tall  55 people who are basketball player 60 people  who are…

A: We are given the following. In a party, Number of tall people, |T| = 30, Number of basketball…

Q: Draw a card from a regular deck. If a club is drawn, playerI wins; if a diamond is drawn, player 2…

A: Given : Number of cards of club = 13 Number of cards of diamond = 13 Total number of cards = 52

Q: Describe the elements in Q(π).

A:

Q: Let ü = [-2, 1, 3] and v = [4, - 3, 1]. Determine: 4.

A:

Q: Find the number of permutations of each group of letters. (a) G, E, C, K, o permutations (b) P, Y,…

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Q: Is {4, 5} C S, where S is the powerset of {2, 3, 4, 5, 6}?

A:

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: 0-wa a has

A:

Q: Let X-Bin(5,0.5), then P(X >3|X >2) is

A: Given information: Given that the random variable X follows binomial distribution with parameters n…

Q: Let A = {8,√17^2−15^2  , 34mod7}   and   B = {14mod8} Is A ⊆ B? Explain why or why not.     Is B…

A:

Q: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

A:

Q: 5. If A = I then what is A?

A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…

Q: least two of the firends will meet on the same day for a showing? ne day ne:

A: HERE given, three friends plans to go to new movie Opening  some day next week (any day Monday-…

Q: tet A= 2J ndb- -9 12.-6 -6 -4. and let be the Set of all bineaa Corabinationef Callemng of A -the As…

A: A=3-42-912-6-68-4, b=000 (a) Set of all linear combination of column of A w=a3-9-6+b-4128+c2-6-4 Let…

Q: he number o ors of A will

A:

Q: Let U = { 5, 6, 7, 8, 9, 10, 11, 12}, A = {6, 8, 10}, B = { 5, 6, 9, 12}, and  C = {7, 10, 12}. Find…

A: We first find the union of A and BA∪B={6,8,10} ∪ {5,6,9,12}={5,6,8,9,10,12}

Q: 3 is the imagina u =

A:

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, a, b, c, d, e}. If A = {1, 2, a, e} and B = {1, 2, 3,…

A:

Q: Describe the elements in Q().

A:

Q: Write P if the given situations are describing Permutation and C, if tells about Combination.…

A: It is needed to choose whether the statements exhibit permutation or combination.

Q: (2n)! Let a,= then a) a, b) a, c) a, d) a,

A:

Q: Let A = {2,5,6,8} and B = {5,7,9,1} Find AUB

A:

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

A:

Q: Let A={1,2,3), the power of A

A: Given, A={1, 2, 3} The number of elements, |A|=3

Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: Let A = {e, f, h}, then write all the permutations of A.

A: According to the given information, it is required to write down all the permutation of the given…

Q: Cス 会

A: The objective is to find the names of given notations.

Q: Find the number of permutations of each group of letters. (a)    G, E, C, K, O  permutations (b)…

A: a). The number of letters is 5. The given letters are  G, E, C, K, and O. Here, no letter is…

Q: Simplify the permutation.P(n,0)

A: Given: The permutation Pn,0, To determine: The simplified value of the given permutation. Formula…

Q: Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

A: A ∪ B = {2,4,6,8} ∪ {6,8,10,12}

Q: If a |b, show that (-a) |b, a | (-b), and (-a)|(-b). Jorifu the following:

A: Elementary number theory: Let a and b are any integers, and if these both integers are written as,…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.