Final answer:
The size of the power set of set S={1,2,3,4} is 16, calculated using the formula 2 to the power of the number of elements in the set, which is 2^4=16.option B is correct answer.
Step-by-step explanation:
The size of the power set of a set S is determined by the number of elements in S. The formula to find the size of the power set is 2n, where n is the number of elements in the set. Given that the set S = {1,2,3,4} has 4 elements, the size of the power set of S can be calculated as 24, which equals 16.
In general, for any set with n elements, there will be 2n subsets, including the empty set and the set itself. So the correct answer to the question 'What is the size of the power set of S={1,2,3,4}?' is Option B. 16.
In this case, the set S = {1, 2, 3, 4} has 4 elements. The number of subsets of a set with n elements is 2^n. Therefore, the size of the power set of S is 2^4 = 16.Therefore, the correct answer is B.