  Recently the authors introduced lecture hall tableaux in their study of
multivariate little $q$-Jacobi polynomials. In this paper, we enumerate bounded
lecture hall tableaux. We show that their enumeration is closely related to
standard and semistandard Young tableaux. We also show that the number of
bounded lecture hall tableaux is the coefficient of the Schur expansion of
$s_\lambda(m+y_1,\dots,m+y_n)$. To prove this result, we use two main tools:
non-intersecting lattice paths and bijections. In particular we use ideas
developed by Krattenthaler to prove bijectively the hook content formula.
