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There is 1 combination of all ten numbers, 10 combinations of one number and of nine numbers,

45 combinations of two or eight numbers,

120 combinations of three or seven numbers,

210 combinations of four or six numbers and

252 combinations of five numbers.

That is 1023 = 210 - 1 in total.

Q: What are the combinations of 1 through 10 with out using them twice?

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There are a huge number of combinations of 5 numbers when using the numbers 0 through 10. There are 10 to the 5th power combinations of these numbers.

There are 252 combinations.

If there are no restrictions on duplicated numbers or other patterns of numbers then there are 10 ways of selecting the first digit and also 10 ways of selecting the second digit. The number of combinations is therefore 10 x 10 = 100.

150,200

Exactly 3,628,800, or 10!.

Related questions

There are a huge number of combinations of 5 numbers when using the numbers 0 through 10. There are 10 to the 5th power combinations of these numbers.

The order of the digits in a combination does not matter. So 123 is the same as 132 or 312 etc. There are 10 combinations using just one of the digits (3 times). There are 90 combinations using 2 digits (1 once and 1 twice). There are 120 combinations using three different digit. 220 in all.

The number of combinations of 7 numbers from 10 is 10C7 = 10*9*8/(3*2*1) = 120

In other words, how many 4 digit combination locks are there using the digits 0-9 on each wheel. There are 10×10×10×10 = 10⁴ = 10,000 such combinations.

1000

The number of combinations is the number of characters - in this case, 10 - raised to the power if the number of places. So using only the numerals zero through nine, and a 10-character PIN, there are 10 raised to the tenth power combinations, or 1,000,000,000 different possibilities.

There are 252 combinations.

There are only 10 combinations. In each combination one of the 10 digits is left out.

Their is 25 combinations

If there are no restrictions on duplicated numbers or other patterns of numbers then there are 10 ways of selecting the first digit and also 10 ways of selecting the second digit. The number of combinations is therefore 10 x 10 = 100.

150,200

Exactly 3,628,800, or 10!.