+2653 Let a, b, c, be the numbers 1, 2, 3, in some order. Find the largest possible value of ab + 2ac + 3bc.
+1926 We want bc to be the biggest, ac to be the second biggest, and ab to be the smallest.
Obviously, c has to be the biggest number and b has to be the second biggest number.
Thus, c is 3, b is 2, and a is 1.
We have
\((2*1) + 2(1)(3) + 3(3)(2)\\ 2+6+18\\ 26\)
So our answer is 26.
Thanks! :)
