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A mathematical arrangement problem in chess
It is impossible to completely cover the remaining grids, so there are 0 permutations.

Because the two squares removed are white squares, there are 32 Haig and 30 white squares left. The rectangle consists of a Haig and a white grid, and the black and white are equal after covering.

Unless the topic is revised.

The meaning of the topic is not very clear. What's the number?

The topic is still unclear, so it can't be covered.

If you leave a space between him, let him have as many gaps as possible, ok? There are many things about the number of gaps in the middle.