Let a, b, c, be the numbers 1, 2, 3, in some order. Find the largest possible value of a + 2b + 3c.

Answer 1

To find the largest possible value of a + 2b + 3c, we want to maximize the values of a, b, and c.

Since a, b, and c can be the numbers 1, 2, 3 in some order, let's consider the case where a = 3, b = 2, and c = 1:

a + 2b + 3c = 3 + 2(2) + 3(1) = 3 + 4 + 3 = 10

Therefore, the largest possible value of a + 2b + 3c is 10.