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The number of microstates associated with the 4F subshell is 14. This is because the F subshell has 7 orbitals (l = 3), and each orbital can hold a maximum of 2 electrons (spin up and spin down). Therefore, the total number of microstates is 2^7 = 128. However, only half of these are accessible due to Hund's rule, which states that electrons will occupy orbitals individually before pairing up. So the final answer is 128/2 = 14.