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All the grounds are counted once for all of them, the switch is counted twice, and each hot and neutral is counted. All internal clamps are counted as once. In your case you'll have an old work box with internal clamps (1), grounds (1), switch (2), three hots (3), three neutrals (3), for a total "count" of 10. Multiply this by 2 (it's the multiplier for 14 gauge), and you'll need a box with at least 20 cubic inches to make this legal. That's a pretty deep box. (the multiplier for #12 is 2.25, in case you need to know)
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