Home
Class 11
MATHS
When A = phi, the number of elements in ...

When `A = phi`, the number of elements in `P(A)` is `"……………"` .

Text Solution

Verified by Experts

We know, if there are n number of elements in a set A, then,
`P(A)` will have `2^n` elements.
If, `A = phi`, then, `n=0`
So, `P(A)` will have `2^0 = 1` element.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT ENGLISH|Exercise EXERCISE 1.1|6 Videos
  • SETS

    NCERT ENGLISH|Exercise EXERCISE 1.6|8 Videos
  • SETS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|34 Videos
  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.5|6 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos

Similar Questions

Explore conceptually related problems

If A={1,2,3} then the number of elements in P(A) is

If A={1,3,5,6} , the number of elements in P{P(A)} is

P block elements

P block elements

If P = {a, e,i,o, u} and Q = {2, 4, 6, 8, 10}, then find the number of elements in P xx Q .

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

If the set A contains 5 elements, then the number of elements in the power set P(A) is equal to

If {p in N: "p is a prime" and p=(7n^(2)+3n+3)/(n)"for some n" in N}' then the number of elements in the set A, is

If P(A) denotes the power set of A and A is the void set, then what is number of elements in P(P(P(P(A))))