Home
Class 12
MATHS
If the number of elements in the power s...

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

Text Solution

Verified by Experts

The correct Answer is:
7
Let set A have n elements. Then number of elements in its power set P(A) is `2^n`. According to the question,
`2^n = 128 = 2^7`
`therefore n=7`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.2|8 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 1.3|13 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE PUBLICATION|Exercise Solved Exp|11 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

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-

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

Find the power set of A={a,b,c}.

Let A ={1,2,3,4,5,6}, then total number of elements of the set A xxA is-

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 B set is the power set of set A, then the correct option is.

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-

Find the power set of A = {{a}, {b, c}}

If two sets A and B have 99 elements in common , then the number of elements common to each of the sets AxxB and B xxA are-