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Which of the following has only one subset?
- a){ }
- b){5}
- c){4,5}
- d){0}
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Which of the following has only one subset?a){ }b){5}c){4,5}d){0}Corre...
- Every set has the empty set as a subset. So if a set has 1 element, like {0}, then it will have 2 subsets: itself and the empty set, which is denoted by { }.
- So, if a set has only one subset, then this set must be the empty set.
Most Upvoted Answer
Which of the following has only one subset?a){ }b){5}c){4,5}d){0}Corre...
Explanation:
A subset is a set that contains elements of another set. For example, {2, 4} is a subset of {1, 2, 3, 4}. The empty set, denoted by { }, is also considered a subset of any set.
a) { } - This set has no elements, and the only subset it has is the empty set itself. Therefore, it has only one subset.
b) {5} - This set has one element, and its subsets are the empty set and the set itself. Therefore, it has two subsets.
c) {4, 5} - This set has two elements, and its subsets are { }, {4}, {5}, and {4, 5}. Therefore, it has four subsets.
d) {0} - This set has one element, and its subsets are { } and {0}. Therefore, it has two subsets.
Therefore, the correct answer is option 'A' because it has only one subset, which is the empty set.
A subset is a set that contains elements of another set. For example, {2, 4} is a subset of {1, 2, 3, 4}. The empty set, denoted by { }, is also considered a subset of any set.
a) { } - This set has no elements, and the only subset it has is the empty set itself. Therefore, it has only one subset.
b) {5} - This set has one element, and its subsets are the empty set and the set itself. Therefore, it has two subsets.
c) {4, 5} - This set has two elements, and its subsets are { }, {4}, {5}, and {4, 5}. Therefore, it has four subsets.
d) {0} - This set has one element, and its subsets are { } and {0}. Therefore, it has two subsets.
Therefore, the correct answer is option 'A' because it has only one subset, which is the empty set.
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Community Answer
Which of the following has only one subset?a){ }b){5}c){4,5}d){0}Corre...
All sets have itself and empty set as their subsets (totally 2^n subsets where n is number of elements)
so a singleton set as of option b and d has two subsets but a is an empty set which has one and only subset (2^0 = 1 , which is an empty set only)
so a singleton set as of option b and d has two subsets but a is an empty set which has one and only subset (2^0 = 1 , which is an empty set only)
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Which of the following has only one subset?a){ }b){5}c){4,5}d){0}Correct answer is option 'A'. Can you explain this answer?
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