  Let $\rho$ be a non-negative integer. A $\rho$-removed uniform matroid is a
matroid obtained from a uniform matroid by removing a collection of $\rho$
disjoint bases. We present a combinatorial formula for Kazhdan-Lusztig
polynomials of $\rho$-removed uniform matroids, using skew Young Tableaux. Even
for uniform matroids, our formula is new, gives manifestly positive integer
coefficients, and is more manageable than known formulas.
