Question

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

Answer 1

7 • 7 which would be 49 right

Answer 2

no, not really

Answer 3

7 • 7 which would be 49 right

Answer 4

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 \[^7C_2\]

Answer 5

i just counted and i got 21

Answer 6

compute via \[\binom{7}{2}=\frac{7\times 6}{2}\] cancel firist, multiply last

Answer 7

So 21