A certain lock has four tumblers, and each tumbler can assume four positions. How many different possibilities are there?
1
To find the total number of different possibilities, we need to multiply the number of positions for each tumbler together.
In this lock, each tumbler can assume four positions. Since there are four tumblers, we multiply 4 by itself four times:
4 * 4 * 4 * 4 = 256
Therefore, there are 256 different possibilities for this lock.