A \(k\)-almost prime number is defined as a positive integer with exactly \(k\) prime factors that are not necessarily

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A \(k\)-almost prime number is defined as a positive integer with exactly \(k\) prime factors that are not necessarily distinct. The third-smallest \(4\)-almost prime number, less the fourth-smallest \(3\)-almost prime number is

A. 6
B. 8
C. 16
D. 24
E. 28

Answer: C

Source: Manhattan GMAT