Arrangements question.

combinatorics

Pick the three horizontal and three vertical coordinates in $\binom{5}{3}\binom{6}{3}$ ways, then permute in $6$ ways.

Related

When is the map $x\rightarrow x^k$ injective in $\mathbb Z_n$?
Some regularity in the prime decomposition
Are the Euler-Maclaurin formula and the Poisson summation formula related?
Euler Characteristic of fiber bundle using Differential Geometry
What Is the Hardest Shape To Roll?
Prove : If $\sum_na_nb_n$ converges whenever $\sum b_n^2 \lt \infty,$ then $\sum a_n^2<\infty$
Fractal dimensional analysis?
On an operator norm inequality for two triangular matrices
Homotopy groups O(N) and SO(N): $\pi_m(O(N))$ v.s. $\pi_m(SO(N))$
Step Function vs Simple Function
Motivation behind proof
The relationship between large cardinals and program termination