32. How many five-digit numbers are there that read the same from left to right and right to left?
32. The first digit can be chosen in nine ways, and the second and third digits can be chosen in ten ways each. Since the fourth digit must match the second, and the fifth must match the first, each of the last two digits can be chosen in only one way. Thus, the number of such numbers will be $9 \cdot 10 \cdot 10 \cdot 1 \cdot 1=900$.