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Basically what the title says. The Earthshaker cannon of the Basilisk has the Ordnance rule and the tank, if taken under the Emperor's Wrath Formation can be issued with the "Bring it Down" order. I can't seem to find in thee rulebook how would these two interact so anything even a page reference would be helpful...

I guess you can roll two dice and then re-roll the one you choose to use.

As Vector Strike points, each rule govern a different mechanic and should interactuate as normal 1st resolve armor pen then re-roll

Ordinance tell you to roll two-dice as armor pen and choose highest.

Tank hunter tells you you can re-roll an armor pen dice if it fails or if it's a glance and accept second result.

Tank Hunter let's you re-roll armour penetration rolls that fail or glance. Both dice rolled are armour penetration, so if neither penetrates I'd say you can re-roll both.

I'm not sure you could re-roll the other if one penetrated, but then again I'm not sure why you would want to either.

Ordnance makes you roll two dice and pick the highest result (this does not appear to be voluntary in the rules - you could not, for example, choose to pick a "glance" result over a "penetrating hit" result if you were worried that a penetrating hit might cause your target to explode and damage nearby friendly units).

Tank Hunter lets you re-roll armour penetration rolls that glance, but doesn't give you the option if you fail the role - you MUST reroll if you fail due to the way it is worded, particularly the difference in the way it describes failed rolls and glancing rolls.

Because Ordnance is a process you apply all at once, you're only getting one "result" - your roll is either a penetrating hit, a glancing hit, OR a failure, as the second dice was only a potential result and was discarded for the actual (highest roll) result.

Thus, depending on what your result was, your choices are either made for you (if you get a penetrating hit, you CAN'T reroll under Tank Hunter, and if you fail to get a penetrating or glancing hit, you MUST reroll under Tank Hunter - and since you have Ordnance, you roll two dice and choose the best result upon a reroll, as that would NOT be a reroll-of-a-reroll) or you are given a choice (if you get a glancing hit, you can choose to reroll ALL dice, or you can choose to let the result stand, but you CAN'T reroll only one of the Ordnance dice).