Answer
True
Work Step by Step
For any given value of $n$, the values of $l$ can be $~~l = 0, 1, 2,...,(n-1)$
For any given value of $l$, the values of $m_l$ can be $~~m_l = 0, \pm 1, \pm 2,...,\pm l$
Therefore, the number of values of $m_l$ that are allowed depends only on $l$ and not on $n$.
