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How can you find the total number of possible combinations for a combination lock?
First of all, even though we call them "combination locks" they are not combination locks. In fact, there is no such thing as a "combination lock", that is if you pay homage to the actual, technical meaning of the word "combination". The word combination implies that order is irrelevant, which is not the case on a combination lock. The numbers for the "combination" have a particular order, and that order makes the difference between the lock opening or not. Just because you get the numbers correct doesn't mean the lock will open unless you get them in the right order, too. A combination lock is more appropriately called a permutation lock.
Now, you want to know the number of permutations for a combination lock. This is a much more precise question.
The next thing we need to know is whether or not repeats are allowed. In combination locks it is generally the case that repeats are allowed. One number does not effect the next number. Not only do the number of possibilities remain constant for each number, but which values they can possess also remains constant.
Say for example we have a combination lock with three numbers to be set. Suppose that each of those can be the numbers 0 to 29. In this case, if the sequence 5, 6, 3 is distinct from 6, 3, 5, then we have a permutation lock. Not a combination lock. If the two sequences were the same, if both opened the lock... then its a true combination lock indeed. If the lock can open to 5, 5, 3 then repeats are allowed.
This lock has 30 unique values for each number in the sequence: 0-29. And it has 3 numbers in the sequence. If repeats are allowed then there are 303 = 27,000 permutations. If repeats are not allowed then there are 30P3 = 24,360 permutations.
What else can I help you with?
How many possible combinations can be made from 10 items?
To calculate the number of possible combinations from 10 items, you can use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of items (10) and r is the number of items you are choosing in each combination (which can range from 1 to 10). So, if you are considering all possible combinations (r=1 to 10), the total number of combinations would be 2^10, which is 1024.
What is the equation to determine number of possible lock combinations?
In the simplest case, if A is the number of values a single element of a combination can have, and N is the number of elements in the combination, then the number of possible lock combinations is AN. For example: if you have a lock with a 4-digit numerical combination, any combination has 4 elements - the digits. Each digit can have 10 values - 0 through 9. So the total number of lock combinations is 104 or 10000. Another example: if you have the typical rotating combination padlock, a combination consists of three numbers, each of which can be 0-39. So the total number of combination shere is 403 or 64000. The calculation gets more complicated if the same number can't appear twice in the combination. In that case, there are A values for the first element, but only A-1 values for the second, A-2 values for the third, and so on. The formula in this case is A(A-1)(A-2)(...)(A-N+1) which can be written more concisely as A!/(A-N)!. For example: if you have the same rotating combination padlock as above, but know that the numbers in the combination are all different, there are 40*39*38 or 59280 possible combinations.
If A standard combination lock has 60 numbers on its face from 0 to 59 a combination consits of three numbers and numbers can be repeated what is the total number of possible combinations?
There are 60 possible numbers for the first number, A, in the combination (1,2,3,...,59,60).For each of outcome of A, there are 60 outcomes for the second number, B, giving a two digit combination 60x60=360 possibilities.For each of these 360 outcomes, there are 60 outcomes for the third number, C, making the number of possible combinations 360x60=21600.Or 60 possibilities x 60 possibilities x 60 possibilities = 21,600 possibilities.
Using 4 digits what is the total number of combinations for a 4 digit lock code?
If the digits can repeat, then there are 256 possible combinations. If they can't repeat, then there are 24 possibilities.
How many number combinations are there in a swertres lotto?
2087
How many possible combinations can be made from 10 items?
To calculate the number of possible combinations from 10 items, you can use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of items (10) and r is the number of items you are choosing in each combination (which can range from 1 to 10). So, if you are considering all possible combinations (r=1 to 10), the total number of combinations would be 2^10, which is 1024.
What is the Total number of 1 bit combinations are?
The total number of 1-bit combinations is 2. This is because a single bit can have two possible values: 0 or 1. Therefore, the combinations are {0, 1}.
How many combinations you can make from 34 numbers?
To calculate the number of combinations possible from a set of 34 numbers, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n = 34 (the total number of numbers) and r = the number of numbers you want to choose in each combination. If you want to find all possible combinations of choosing 2 numbers from the set of 34, you would calculate 34C2 = 34! / 2!(34-2)! = 561 total combinations.
What are all the possible 11 digit combinations of letters A-Z and numbers 0-9 combined?
There are 36 possible characters (26 letters + 10 numbers) that can be used in each position of the 11-digit combination. Therefore, the total number of possible combinations is 36^11, which is approximately 7.52 x 10^17. This means there are over 750 quadrillion possible 11-digit combinations of letters A-Z and numbers 0-9 when combined.
How many number combinations can be make by 6 dice?
When rolling 6 dice, each die has 6 faces, resulting in (6^6) combinations. This calculation yields a total of 46,656 possible combinations. Each combination represents a unique arrangement of numbers from the six dice.
What is the equation to determine number of possible lock combinations?
In the simplest case, if A is the number of values a single element of a combination can have, and N is the number of elements in the combination, then the number of possible lock combinations is AN. For example: if you have a lock with a 4-digit numerical combination, any combination has 4 elements - the digits. Each digit can have 10 values - 0 through 9. So the total number of lock combinations is 104 or 10000. Another example: if you have the typical rotating combination padlock, a combination consists of three numbers, each of which can be 0-39. So the total number of combination shere is 403 or 64000. The calculation gets more complicated if the same number can't appear twice in the combination. In that case, there are A values for the first element, but only A-1 values for the second, A-2 values for the third, and so on. The formula in this case is A(A-1)(A-2)(...)(A-N+1) which can be written more concisely as A!/(A-N)!. For example: if you have the same rotating combination padlock as above, but know that the numbers in the combination are all different, there are 40*39*38 or 59280 possible combinations.
If A standard combination lock has 60 numbers on its face from 0 to 59 a combination consits of three numbers and numbers can be repeated what is the total number of possible combinations?
There are 60 possible numbers for the first number, A, in the combination (1,2,3,...,59,60).For each of outcome of A, there are 60 outcomes for the second number, B, giving a two digit combination 60x60=360 possibilities.For each of these 360 outcomes, there are 60 outcomes for the third number, C, making the number of possible combinations 360x60=21600.Or 60 possibilities x 60 possibilities x 60 possibilities = 21,600 possibilities.
How many 4 number combinations are there with 16 numbers?
To calculate the number of 4-number combinations possible with 16 numbers, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n = 16 (the total number of numbers) and r = 4 (the number of numbers in each combination). Plugging these values into the formula, you would calculate 16C4 = 16! / 4!(16-4)! = 1820. Therefore, there are 1820 possible 4-number combinations with 16 numbers.
Using 4 digits what is the total number of combinations for a 4 digit lock code?
If the digits can repeat, then there are 256 possible combinations. If they can't repeat, then there are 24 possibilities.
What is the total number of different four-letter arrangements that can be formed from the letters in the word vertical if each letter is used only once in an arrangement?
You have eight letters to work with, and can use any four of them, but only once per combination. That means that the total number of possible combinations you can make is: 8! / (8 - 4)! = 8! / 4! = 8 * 7 * 6 * 5 = 1680 So there are 1680 possible combinations.
Why is number seven the most common number to roll on a pair of dice?
Because every combination is equally probable, but more combinations sum to seven than to any other total. There are 36 possible combinations; of these seven will produce 7, only one will give 2 and only one will give 12.
What are the possible March Madness bracket combinations for this year's tournament?
There are a total of 9,223,372,036,854,775,808 possible bracket combinations for the March Madness tournament this year.
