Subjects combinatorics

Shirt Bottom Combinations 19E9A2

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1. The problem asks which group of shirt colors and bottom styles produces exactly 6 different combinations. 2. The formula to find the total number of combinations when pairing one item from each group is: $$\text{Total combinations} = (\text{number of shirt colors}) \times (\text{number of bottom styles})$$ 3. Let's calculate the total combinations for each group: - Group A: 6 shirt colors and 4 bottom styles $$6 \times 4 = 24$$ - Group B: 2 shirt colors and 4 bottom styles $$2 \times 4 = 8$$ - Group C: 3 shirt colors and 3 bottom styles $$3 \times 3 = 9$$ - Group D: 2 shirt colors and 3 bottom styles $$2 \times 3 = 6$$ 4. The group with exactly 6 combinations is Group D. **Final answer:** Group D has 6 different combinations.