How many elements are in the set { 2,2,2,2 } ?

Harlen Pritchard

Harlen Pritchard

Answered question

2021-08-17

How many elements are in the set { 2,2,2,2 } ?

Answer & Explanation

Bella

Bella

Skilled2021-08-18Added 81 answers

Consider the set {2,2,2,2}
The set is in set-rooster notation. So, 2,2,2 and 2 are the elements in the set {2,2,2,2}.
Hence, all the elements (2,2,2 and 2) are equal to 2.
Therefore, the set contains only one element 2.
madeleinejames20

madeleinejames20

Skilled2023-06-19Added 165 answers

Step 1: Start by listing the set:
S={2,2,2,2}
Step 2: To find the number of distinct elements in the set, we need to remove any duplicates. Since all the elements in this set are the same, we can simplify it by considering only one occurrence of the element '2':
S={2}
Step 3: Now, we have a set with only one element, '2'. The number of distinct elements in the set is therefore 1.
Step 4: Finally, let's summarize the solution:
The set S={2,2,2,2} contains only one distinct element, which is 2.
So, the number of elements in the set is 1.
Nick Camelot

Nick Camelot

Skilled2023-06-19Added 164 answers

To find the number of elements in the set {2,2,2,2}, we can simply count the distinct elements. In this case, since all the elements are the same, there is only one distinct element in the set, which is 2. Therefore, the set {2,2,2,2} contains 1 element.
Eliza Beth13

Eliza Beth13

Skilled2023-06-19Added 130 answers

In this case, the set {2, 2, 2, 2} appears to have four elements listed, but since the number 2 is repeated multiple times, we need to consider only the distinct elements.
To calculate the cardinality, we can denote the set as S={2,2,2,2} and use the notation |S| to represent the cardinality of set S.
We can determine the distinct elements by removing the duplicates, resulting in the set {2}. Thus, |S|=1.
Therefore, the set {2, 2, 2, 2} contains only one element.

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