No. Elements and subsets are not the same thing. An element of a set is one of the things in the set.

A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B. For example, if A={1,3,5} then B={1,5} is a proper subset of A.

Any set is considered to be a subset of itself. No set is a proper subset of itself. The empty set is a subset of every set. The empty set is a proper subset of every set except for the empty set.

8 subsets

There are: four subsets [1], [2], [3], [4] each containing one element, six subsets [1, 2], [1, 3], [1, 4], [2, 3], [2, 4] and [3, 4] each containing two elements, four subsets [2, 3, 4], [1, 3, 4], [1, 2, 4] and [1, 2, 3] each containing three elements. The sets: {0. 0. 0, 0} and {1, 2, 3, 4} are not proper subsets.

{1,2} is a subset of {1,2,3,4} ; ∅ , {1} and {1,2} are three different subsets of {1,2} ; and. Prime numbers and odd numbers are both subsets of the set of integers.

If a set contains ‘n’ elements, then the number of proper subsets of the set is 2n – 1. In general, number of proper subsets of a given set = 2m – 1, where m is the number of elements.

In general if ‘a’ power set has a elements the number of subsets is 2ª. Since we are given a power set with 64 subsets we can calculate the number of elements ‘a’ in the set by solving 2ª=64. Therefore the number of subsets with 3 elements each is equal to (6!/(3! x3!)

16 subsets

Answer. Answer: 16 is your correct answer.

one element

So, P(A) will have 20=1 element. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Answer. If A=Ф that menas A does not contain any element i.e., n=0. Now, number of elements in a power set is 2ⁿ. Therefore P(A) contains 1 element.

2: How many elements are there for the power set of an empty set? Solution: An empty set has zero elements.

no elements