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Given a set of four elements, the power set consists of ____ elements.

Given a set of four elements, the power set consists of ____ elements. Correct Answer sixteen

Given a set with X number of elements, the power set consists of 2X number of elements. The given statement includes four singletons, six doubletons, four triplets, the set itself and an empty set.

Related Questions

If in sets A, B, C, the set B ∩ C consists of 8 elements, set A ∩ B consists of 7 elements and set C ∩ A consists of 7 elements then the minimum element in set A U B U C will be?
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.
Consider the following two C code segment. Y and X are one- and two-dimensional arrays of size n and n × n respectively, where 2 ≤ n ≤ 10. Assume that in both code segments, elements of y are initialized to 0 and each element X[i] [j] of array X is initialized to i + j. Further assume that when stored in main memory all elements of x are in same main memory page frame. Code segment 1:                 //initialize elements of y to 0                 //initialize elements X[i] [j] of X to i+j                       for (i = 0; i < n; i++)                                 Y[i] += X[0] [i]; Code Segment 2:                 //initialize elements of Y to 0                 //initialize elements X[i] [j] of X to i+j                        for (i = 0; i < n; i++)                                 Y[i] += X[i] [0]; Which of the following statements is/are correct? S1: Final contents of array Y will be same in both code segments S2: Elements of array X accessed inside the for loop shown in code segment 1 are contiguous in main memory S3: Elements of array X accessed inside the for loop shown in code segment 2 are contiguous in main memory
Consider the following statements: 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?
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If set A has 10 elements, set B has 20 elements, 5 elements are common to both then find the number of elements in X∪Y.
The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form acoherent paragraph. P: It has been the handmaid of the ruling class.
Q: Therefore, ever since the dawn of civilization, persons in power have always tried to supervise or control education.
R: Education is an instrument which imparts knowledge and therefore, indirectly controls power.
S: It is an old saying that knowledge is power.
Match the following two sets given below. Set - I consists of terms related to specific deviations and Set - II consists of resultant impairments. Set-I (Terms denoting nature of deviations) Set-II (Resultant Impairments) (a) Cerebral Palsy  (i) Problems related to reading words   and letter (b) Congenital Cytomegalovirus (ii) Characterised by rapid, involuntary movements of eyes which make it difficult to focus on objects and causes dizziness (c) Dyslexia (iii) Disorder related to movements and posture (d) Nystagmus (iv) Herpes - related viral infection causes hearing loss   (v) Disorder related to farsightedness
Mobile genetic elements present in human genome are
P. Long interspersed elements (LINEs)
Q. Short interspersed elements (SINEs)
R. P elements
S. IS elements
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