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A steakhouse offers 7 sides. Baked potato, mashed potato, fries, Broccoli, salad, soup, or mushrooms. If you choose two sides with your meal, how many different combinations are possible? 14 49 42 21
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7 • 7 which would be 49 right
no, not really
7 • 7 which would be 49 right
you are being asked how manyways you can choose 2 sides out of seven, or "seven choose two" written as \[\binom{7}{2}\] or \[_7C_2\] or even \[^7C_2\]
i just counted and i got 21
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compute via \[\binom{7}{2}=\frac{7\times 6}{2}\] cancel firist, multiply last
So 21
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