Quote:
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Originally Posted by NFHS Rule 8-6-2
If there is a multiple throw and both a single personal and single technical foul are involved, the tries shall be attempted in the order in which the related fouls occurred, and if the last try is for a single technical foul, or intentional or flagrant personal foul, the ball shall be put in play by a throw-in.
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This doesn't really solve the argument directly. But, I find it curious that they specify how play should resume if the last foul is the technical, but they do not specify how to resume if the last foul is not the technical. That leaves me to conclude that you line them up for the PF and play on. Otherwise, they would just say that play is resumed by a throw-in regardless of the order of the fouls.