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removed system from title (it's redundant in many cases thanks to the system tag - relevant meta: https://rpg.meta.stackexchange.com/q/1346/33569); split into paragraphs for readability
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In Pathfinder would Would damage reduction and resistances stack?

Mechanically, in regards to damage reduction from a class and resistances from a race, would those stack? 

For example, a Tiefling [fiendish resistances of 5/ (electricity, cold, and fire) has a class ability that would grant damage reduction 2/adamantium] and gets hit by a spell storing-storing non adamantine-adamantine weapon for the sake of example a short sword with a stored spell of shocking graspshocking grasp. IE

IE: effectively a +1 sword (+2 with spell storing) hits the character for 1D6 +11d6 + 1 (for being a +1 weapon) + STR or DEX if using weapon finesse (for the sake of argument, let's say +3) + 1D61d6 electricity from the shocking graspshocking grasp. 

Additionally letslet's say the attack rolled max damage on the 2 D6d6 rolls:

6 (weapon) + 1 (weapon enhancement) + 3 (character bonus to either STR or Dex) + 6 electricity damage. 10 physical damage and 6 electrical damage. 

In what order would you start applying damage reduction and or resistances for a total to apply to the above described Tiefling?

In Pathfinder would damage reduction and resistances stack?

Mechanically, in regards to damage reduction from a class and resistances from a race, would those stack? For example a Tiefling [fiendish resistances of 5/ (electricity, cold, and fire) has a class ability that would grant damage reduction 2/adamantium] and gets hit by a spell storing non adamantine weapon for the sake of example a short sword with a stored spell of shocking grasp. IE: effectively a +1 sword (+2 with spell storing) hits the character for 1D6 +1 (for being a +1 weapon) + STR or DEX if using weapon finesse (for the sake of argument let's say +3) + 1D6 electricity from the shocking grasp. Additionally lets say the attack rolled max damage on the 2 D6 rolls:

6 (weapon) + 1 (weapon enhancement) + 3 (character bonus to either STR or Dex) + 6 electricity damage. 10 physical damage and 6 electrical damage. In what order would you start applying damage reduction and or resistances for a total to apply to the above described Tiefling?

Would damage reduction and resistances stack?

Mechanically, in regards to damage reduction from a class and resistances from a race, would those stack? 

For example, a Tiefling [fiendish resistances of 5/ (electricity, cold, and fire) has a class ability that would grant damage reduction 2/adamantium] and gets hit by a spell-storing non-adamantine weapon for the sake of example a short sword with a stored spell of shocking grasp.

IE: effectively a +1 sword (+2 with spell storing) hits the character for 1d6 + 1 (for being a +1 weapon) + STR or DEX if using weapon finesse (for the sake of argument, let's say +3) + 1d6 electricity from the shocking grasp. 

Additionally let's say the attack rolled max damage on the 2 d6 rolls:

6 (weapon) + 1 (weapon enhancement) + 3 (character bonus to either STR or Dex) + 6 electricity damage. 10 physical damage and 6 electrical damage. 

In what order would you start applying damage reduction and or resistances for a total to apply to the above described Tiefling?

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In Pathfinder would damage reduction and resistances stack?

Mechanically, in regards to damage reduction from a class and resistances from a race, would those stack? For example a Tiefling [fiendish resistances of 5/ (electricity, cold, and fire) has a class ability that would grant damage reduction 2/adamantium] and gets hit by a spell storing non adamantine weapon for the sake of example a short sword with a stored spell of shocking grasp. IE: effectively a +1 sword (+2 with spell storing) hits the character for 1D6 +1 (for being a +1 weapon) + STR or DEX if using weapon finesse (for the sake of argument let's say +3) + 1D6 electricity from the shocking grasp. Additionally lets say the attack rolled max damage on the 2 D6 rolls:

6 (weapon) + 1 (weapon enhancement) + 3 (character bonus to either STR or Dex) + 6 electricity damage. 10 physical damage and 6 electrical damage. In what order would you start applying damage reduction and or resistances for a total to apply to the above described Tiefling?