125
10000
Assuming each "digit" actually has 10 different states, there are one million combinations possible in a six-digit combination lock. However, many combination lock designs actually have fewer than 10 different states per "digit", resulting in far fewer actual combinations on such locks.
Way to many (:
2 to the power 16.
6,720 combinations.
This number is a permutation of the number of tumblers and the number of codes on each tumbler. So a three tumbler lock with five codes on each tumbler would have 5 x 5 x 5 = 125 combinations. A four tumbler lock with four codes on each tumbler would have 4 x 4 x 4 x 4 = 256 combinations.
A certain lock has three tumblers, and each tumbler can assume four positions. How many different possibilities are there?
10000
Linus Yale, Sr., didn't invent the lock. The oldest known lock was found by archeologists in the Khorsabad palace ruins near Nineveh. That lock was estimated to be 4,000 years old. It was a forerunner to a pin tumbler type of lock, and a common Egyptian lock for the time. Linus Yale re-invented a pin-tumbler lock in 1848. Linus Yale Jr. patented a new improved cylinder pin-tumbler lock in 1861.
Assuming each "digit" actually has 10 different states, there are one million combinations possible in a six-digit combination lock. However, many combination lock designs actually have fewer than 10 different states per "digit", resulting in far fewer actual combinations on such locks.
10000
Way to many (:
Just one. * * * * * Depends on how many numbers are on each ring. If there are x numbers, then the total number of combinations (actually they are permutations) is x*x*x or x3.
2 to the power 16.
In most 3-number locks, each number ring offers a choice of 10 digits, from 0 to 9. I that case, there are 103 = 1000 combinations.
6,720 combinations.
Since there are only 3 digits available, repetition must be allowed. In that case, there are 30 combinations.