set A = (a,b,c,d,e) and set B = (a,d,e,g). AUB is

A.(D,e)
B.(2a,b,c,2d,2e,g)
C.(a,b,c,d,e,g)
D.(b,c,g)

https://en.wikipedia.org/wiki/Union_(set_theory)

in A, in B or in both

6ab

To find the union (A ∪ B) of two sets A and B, you simply need to combine all the elements from both sets without any repetitions. Let's go through each option and determine which one represents the union (A ∪ B):

Option A: A.(D,e)
This option indicates the intersection of set A with the set consisting of elements D and e. However, we are looking for the union, so this is not the correct answer.

Option B: B.(2a,b,c,2d,2e,g)
This option seems to be a combination of the elements from set B along with additional elements. It does not represent the union of sets A and B, so this is not the correct answer.

Option C: (a,b,c,d,e,g)
This option is the combination of all elements from both set A and set B, including a, b, c, d, e, and g. Hence, this represents the union (A ∪ B) of sets A and B.

Option D: (b,c,g)
This option only consists of elements b, c, and g. It does not include all the elements from both set A and set B, so this is not the correct answer.

Therefore, the correct answer is Option C: (a,b,c,d,e,g), which represents the union (A ∪ B) of sets A and B.