Lucy Furr must supply 2 different bags of chips for a party. She finds 10 varieties at her local grocer. How many different selections can she make?

Answer:she can make 50 different selections!Step-by-step explanation:To find the different selections that can be made, we use the formula:nCr = n! / r! * (n - r)!. Where 'n' represents the number of items available and 'r' represents the nuber of items being chosenIn this case:'n' equals 10 and 'r' equals 2. Therefore:[tex]10C_{2} = \frac{10!}{2!(10-2)!} = \frac{10!}{2!8!} = \frac{90}{2} =50[/tex]So she can make 50 different selections!