There are three sets A, B, and C containing a total of 13 unique integers. The total number of prime numbers among them is n . Set A has 4 numbers, an...

Question

There are three sets A, B, and C containing a total of 13 unique integers. The total number of prime numbers among them is n. Set A has 4 numbers, and the product of its smallest and largest numbers is 26. Set B has 5 numbers, with exactly two prime numbers (the rest are composite). Set C has 4 numbers, and the product of its smallest and largest numbers is 23, which is the largest number across all three sets.

If the two prime numbers in Set B are less than 11 and Set C contains only one prime number, which of the following represents the correct set of all prime numbers?

Options

A.

2, 13, 13, 19, 23

B.

2, 13, 17, 19, 23

C.

2, 5, 7, 13, 19, 17, 23

D.

2, 7, 11, 13, 17, 19, 23

E.

2, 13, 13, 17, 19, 23

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