Question

A steakhouse offers 7 sides: baked potato mashed potatoes, fries, broccoli, salad, soup, or mushrooms. If you choose two sides with your meal, how many combinations of two different are possible?

A 14
B 49
C 42
D 21

Answer 1

For this problem, we can use the formula for combinations, which is:


`(n!)/(r!(n-r)!)`, where we have n objects choosing r at a time


`(7!)/(2!(7-2)!) = (7!)/(2!5!) = (7*6)/(2)`

7*6 is 42, and 42/2 is 21. There are 21 possible combinations

:)