ExplanationRather than writing out every possible outcome, see if you can express the answer choices as the product of 3 factors that could be the number of ties, shirts, and jackets Brian receives.

Choice (A) is possible: 3 ties × 2 shirts × 1 jacket = 6 outfits.

Choice (B) is possible: 4 ties × 2 shirts × 1 jacket = 8 outfits.

Choice (C) is possible: 3 ties × 3 shirts × 1 jacket = 9 outfits.

Choice (D) is not possible: you’d need a 5 as a factor to get to 10, and Brian can’t receive 5 of anything, so eliminate choice (D).

Choice (E) is possible in 2 different ways: 3 ties × 2 shirts × 2 jackets = 12 outfits, as does 4 ties × 3 shirts × 1 jacket.

Choice (F) is possible: 4 ties × 2 shirts × 2 jackets = 16 outfits.

And, finally, choice (G) is possible: 3 ties × 3 shirts × 2 jackets = 18 outfits.

All of the choices except choice (D) work.
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Sandy

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