Number of Elements in a Cartesian Product
Trending Questions
Q. Prove that if A has n element then its power set has 2n element!
Q. If 𝒙 + 𝟏 is one of the factors of 3x3−3x, then the other two factors are_____.
- x - 1, 1 - x
- x, x - 1
- x + 1, 2x - 1
- x, 1 - x
Q. if the number of subsets of set A exceeds the number of subsets of set B by 960. find the number of elements in set A and set B .
Q. If A and B are two sets containing four and two elements, respectively. Then, the number of subsets of the set A×B each having atleast three elements are
- 219
- 256
- 275
- 510
Q. State true or false.
n(A×B)=n(B×A)=n(A)×n(B)
n(A×B)=n(B×A)=n(A)×n(B)
- False
- True
Q.
If A={1, 2, 3} and B={4, 5}, then A×B= ___.
{(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}
{(4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (5, 3)}
{(1, 2), (1, 3), (2, 3), (4, 5)}
{(1, 4), (1, 5), (2, 4), (2, 5)}
Q.
If set A = {1, 2, 3} and set B = {2, 3, 5, 7}. Then the number of elements in A × B is
Q. If A={x:x=6n, n∈W and n<6}, B={x:x=2n, n∈N and 2<n≤9} and C={x:x=3n, n∈N and 4≤n<10}, then show that A−(B∩C)=(A−B)∪(A−C)
Q.
If set A = {1, 2, 3} and set B = {2, 3, 5, 7}. Then the number of elements in A × B is
Q. If U = {1, 2, 3, 4, 5} and A = {2, 5, 1}. The number of elements in a set A' is ___.
- 5
- 3
- 2
- 4
Q. How do you convert 52 cups into quarts ?
Q. A street vendor sells two types of newspapers, one for $0.25 and the other for $0.40. The total amount collected for 100 newspaper is $28.00. How many newspapers did street vendor sell at $0.25?
- 80
- 70
- 60
- 100
Q.
![186870_9ee3ce5c7e2a48238a3be070c5a7e745.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/186870_9ee3ce5c7e2a48238a3be070c5a7e745.png)
Refer to the diagram given above.
{ a, d, g, h } are the elements of ξ−B or B′.If the above statement is true enter 1 else 0.
![186870_9ee3ce5c7e2a48238a3be070c5a7e745.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/186870_9ee3ce5c7e2a48238a3be070c5a7e745.png)