Question 14
Each bicycle license plate in Quixajuba contains three letters. The first is chosen from $\mathcal A=\{\mathrm G,\mathrm H,\mathrm L,\mathrm P,\mathrm R\}$, the second from $\mathcal B=\{\mathrm M,\mathrm I,\mathrm O\}$, and the third from $\mathcal C=\{\mathrm D,\mathrm U,\mathrm N,\mathrm T\}$.
Because the number of bicycles increased, the city needed more possible plates. It was decided to add two new letters to just one set, or one new letter to each of two sets.
What is the largest number of new plates that can be made when the two new letters are added?
Because the number of bicycles increased, the city needed more possible plates. It was decided to add two new letters to just one set, or one new letter to each of two sets.
What is the largest number of new plates that can be made when the two new letters are added?