# Question: How Many Combinations Are There In A 10 Digit Lock?

## How many combinations of 10 items are there?

The answer is known as a factorial, which for the number 1234567890 of 10 total digists = 10.

= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 3,628,800 – a little under 3.3 million possible combinations of numbers .

Its a fascinating subject..

## What is a factorial of 10?

So 10 factorial (written as 10! ) is: 1⋅2⋅3…. ⋅9⋅10. You can work this out on your calculator.

## What are all the combinations for a 3 Number Lock?

A standard 3-digit lock has 999 possible combinations, which is why the 4- digit locks cost a bit of a step more money, as they have 9999 possibles.

## How many combinations of 6 numbers are there in 59?

45,057,474The number of combinations possible with 6 numbers between 1 and 59 is 45,057,474.

## How many possibilities are there in a 10 digit code?

9,999,999,999If you have 10 digits then the maximum number possible is: 9,999,999,999. Since the sequence starts at 0 we need to add 1. So 10,000,000,000 (10 billion).

## How many ways can you make the number 25?

13Note: There are 13 different ways to make 25 cents with quarters, dimes, nickels, and pennies.

## How do you figure out how many combinations a lock has?

X^4 where x is equal to the numbers on the lock. For example, a lock with ten numbers would be 10^4 or 10 000 different four digit combinations. 0 to 9 per setting which is 10 options. then there 10*10*10*10 – 1 combinations which is 9999.

## How large is 52 factorial?

52! is approximately 8.0658e67. For an exact representation, view a factorial table or try a “new-school” calculator, one that understands long integers. A billion years currently equals 3.155692608e16 seconds; however, the addition of leap seconds due to the deceleration of Earth’s orbit introduces some variation.

## How many zeros are there in 100 factorial?

24The number of zeros in 100! will be 24 .

## How many combinations of 7 items are there?

There are 7 ways of choosing the first, 6 ways of choosing the second and 5 ways of choosing the third. 7*6*5=210. So you get 7∗6∗53∗2∗1 7 ∗ 6 ∗ 5 3 ∗ 2 ∗ 1 = 35 ways.

## How do you open a 4 Number Lock?

Start by turning the dial to the RIGHT a minimum of 4 turns (this clears the dial of any previous attempts) and STOP on the FIRST number of your 4 digit combination. Turn the dial to the LEFT passing the SECOND number TWICE, stopping on the SECOND number of your combination on THIRD turn.

## How many combinations are there for a 4 digit lock?

10,000 possible combinationsThere are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code. Berry analyzed those to find which are the least and most predictable.

## How many combinations of 5 numbers are there?

Assuming no five-digit number can begin with zero, there are 9 possible choices for the first digit. Then there are 10 possible choices for each of the remaining four digits. Therefore, you have 9 x 10 x 10 x 10 x 10 combinations, or 9 x 10^4, which is 90,000 different combinations.

## What does 7 factorial mean?

Factorial, in mathematics, the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point. Thus, factorial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7. Factorial zero is defined as equal to 1.

## How many combinations of 6 items are there?

720 possible combinationsIt’s the same as possibilities to a 6 digit code with known numbers and no repeats. With 1 item there are 6 possibilities with 2 you only have 5 choices after the first if you don’t repeat the same item. So for 6 items the equation is as follows 6*5*4*3*2= 720 possible combinations of 6 items.

## How many combinations of 7 numbers are there?

127The number of combinations that are possible with 7 numbers is 127.

## How many possible combinations are there?

The number of combinations of n distinct objects, taken r at a time is: Cr = n! / r! (n – r)! Thus, 27,405 different groupings of 4 players are possible.