Solution:
We can solve this problem using definition of Subsets (Types of sets).
According to the subsets If A, B are two sets such that every element of A is an element of B then A is called a subset of B and B is called a superset of A, respectively denoted by A⊂B and B⊃A.
If A is not a subset of B, we write A ⊈ B.
Clearly, empty set is a subset of every set. Also, every set is a subset of itself.
If a set has n elements, then the total number of its subsets is 2n.
A subset A of a set B is called a proper subset of B if A ≠B and we write A ⊂ B.
By using this definition of subsets we can find the number of subsets of A containing 2 and 4.
We have
A ={0, 1, 2, 3, 4} subset of A containig 2 & 4 are
1) {2, 4}
2) {0, 2, 4}
3) {1, 2, 4}
4) {2, 3, 4}
5) {0, 1, 2, 4}
6) {1, 2, 3, 4}
7) {0, 2, 3, 4}
8) {0, 1, 2, 3, 4}
Therefore, the number of subsets of A containing 2 & 4 = 8
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