If the number of elements of set A are n, then show that the number of sub sets of A are `2^n`.

If the number of elements in sets A and B are 3 and 1 respectively then the number of relations from A to B is

If the number of elements in the power set of set A is 128 then find the number of elements in the set A .

Two finite sets have ma nd n elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Then the values of m and n respectively are-

Two finite sets A and B are having m and n elements.The total number of subsets of the first set is 56 more than the total number of subsets of the second set.The value of m and n ae respectively.

Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in the power set of the second set. Then the value of m and n are-

Let A and B be two sets containing four and two elements repectively . Then the number of subsets of the set AxxB , each having at least elements is -

The number of subsets of a set containing n distinct elements is

Number of relations of a set having 5 elements are

If the set A has 3 elements and the set B =(3, 4, 5), then find the number of elements in (A xx B).

If A is set of different triangles in the plane and B is set of all positive real numbers. A relation R is defined from set A to set B such that every element of set A is associated with some number in set B which is measure of area of triangle. Is this relation as function?