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|Exercise Exercise 1.2|8 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.3|13 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Archieves|1 Videos
  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|36 Videos
  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

Write the number of elements in the power set of null set.

No.of elements in Power set

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-

The number of elements in the power set of the set {{a,b},c} is

If A is the null set, find the number of elements in the power set P(P(A)) .

Let A = {phi, {phi}, {phi, {phi}}}, B = {{phi}, { {phi}}} . If m denotes the number of elements in power set of A and n denotes the number of elements in power set of B, then 2log_(n)m has the value equal to -

If a set A has n elements then find the number of elements in its power set P(A) .

Suppose that the number of elements in set A is p ,the number of elements in set B is q and the number of elements in A times B is 7 .Then p^(2)+q^(2)=