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 n n . Set A has 4 numbers...

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 nn. Set A has 4 numbers, and the product of the smallest and largest numbers in Set A is 26. Set B has 5 numbers, with exactly two prime numbers and the rest composite. Set C has 4 numbers, and the product of the smallest and largest numbers in Set C is 23, which is the highest number among all three sets.

If n<8n < 8 and the number of prime numbers in Set A is greater than that in Set B, which set has the least number of prime numbers?

Options

A.

(a) Set B

B.

(b) Set C

C.

(c) Can be Set B or Set C

D.

(d) Cannot be determined

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