# Basics of Sets and Relations #4

# Basics of Sets and Relations #4

divya_gracie + 0 comments A x B means: The set of all ordered pairs , where a is an element of A and b is an element of B, is called the Cartesian product of A and B.

Example, Here set A contains 6 elements and B contains 7 elements => AxB= 6x7 => 42.

srtvivian + 0 comments A = {1,2,3,4,5,6} B = {2,3,4,5,6,7,8}

1 = (1,2);(1,3);(1,4);(1,5); (1,6);(1,7); (1,8)

2 = (2,2);(2,3);(2,4);(2,5); (2,6);(2,7); (2,8)

3 = (3,2);(3,3);(3,4);(3,5); (3,6);(3,7); (3,8)

4 = (4,2);(4,3);(4,4);(4,5); (4,6);(4,7); (4,8)

5 = (5,2);(5,3);(5,4);(5,5); (5,6);(5,7); (5,8)

6 = (6,2);(6,3);(6,4);(6,5); (6,6);(6,7); (6,8)

Each "line" have 7 "( )". Set A have 6 numbers. Then 6x7 = 42.

dhirajsingh194 + 0 comments A has 6 elements B has 7 elements so A*b=42

sonergonul + 0 comments I found Wikipedia explanation of ordered pair ( https://en.wikipedia.org/wiki/Ordered_pair) is really hard to implement this question.

In mathematics, an ordered pair (a, b) is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair

`(a, b)`

is different from the ordered pair`(b, a)`

unless`a = b`

.

tonycmooz + 0 comments Cartesian Product = (Set A # of items) x (Set B # of items)

In this case, the answer is 6 x 7 = 42 ordered pairs

eshan_surathkal + 1 comment Multiply the number of elements in each sets i.e. |A|=6 , |B|=7 and |A|X|B| = 42

dveer123 + 0 comments But the given is condition of ordered pairs????

prasithprabhu + 1 comment help me with this program

andbmme + 0 comments The Definition of the cartesian Product is

|AxB| = |A|x|B|

so i.e. the amount of pairs in the cartesian product corresponds to the product of the amount of elements in the Sets

VickyAbishek + 3 comments i think the answer is wrong , the results of the cartesian products is again a set , so i think the answer is 37 since sets can't have redundancy ! so {2,2} , {3,3} , {4,4} , {5,5} , {6,6} won't come . so the answer must 42-5=37. correct me , if i am wrong .

jKostet + 1 comment The result is a set of ordered pairs (a,b) where a ∈ A and b ∈ B. There is no redundancy in pairs such as (2,2) where (2∈A,2∈B). You should also mark the pairs with normal parentheses and write the set as {(1,2),(1,3),...,(6,7),(6,8)}.

ideepakmathur + 1 comment It is the cross product of all the value of Table A with all the the values of Table B.

Like A={2,3,4} , B={3,4,5,6}

Multiply first element of A with all the element of B, hence we got 3x4 = 12 as answer.

Verify your answers.

jainutsav89 + 1 comment wrong

antoniro + 0 comments he's right...

emcas88 + 0 comments For example, defining two sets: A = {a, b} and B = {5, 6}. Both set A and set B consist of two elements each. Their Cartesian product, written as A × B, results in a new set which has the following elements: A × B = {(a,5), (a,6), (b,5), (b,6)}.

dinmdzubair + 0 comments Ordered Pairs= (No. of elements in SET A*No. of elements in SET B) - (No. of Sets i.e. (a,b) Such that a=b). So, Ordered Pairs= (6*8) - (6)=42

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