What is the cardinality of the set containing factors of 12?
Answers
Answer:
n(A) = 6
Step-by-step explanation:
Let's say that the name of the set is A. So A is a factor of 12. The factors of 12 are 1, 2, 3, 4, 6, 12. Now, let's try to put that in a set
A = {1, 2, 3, 4, 6, 12}
So right now, we count all the elements of the set. There are 6 elements of the set, so, the cardinality of A is 6.
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Given : factors of 12
To Find : cardinality of the set containing factors of 12
Solution:
12 = 1 * 12
12 = 2 * 6
12 = 3 * 4
Factors of 12 = 1 , 2 , 3 , 4 , 6 , 12
Set of factors of 12 = { 1 , 2 ,3 ,4 , 6 , 12 }
Number of elements = 6
cardinality of the set containing factors of 12 = 6
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