Q:

# How many different combinations can be made in a five digit number?

A:

There are 90,000 different number combinations that can be made in a five-digit number if numbers can repeat. To determine the number of possibilities, each place digit has to be evaluated independently to see how many numbers could fit there and then all are multiplied together.

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A five-digit number has five different place settings which can take on various values. The first digit can take on nine values, from 1 to 9. For the second through fifth digits any number between 0 and 9 can be used. To find the total number of combinations, these values are then multiplied together: 9 x 10 x 10 x 10 x 10 = 90,000 total combinations.

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## Related Questions

• A:

There are 1,000 ways to combine the digits 0-9 to form unique three digit numbers. This is calculated by multiplying 10 x 10 x 10 = 1,000. This assumes that 0 is a valid digit and that the digits may repeat.

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• A:

There are 720 different combinations for a seven-digit number. This answer can be found using the (n[n-1][[n-2] ... to k factors)/k!, where n is the possible number of digits and k is the number of digits in the number. For a seven-digit number, the formula is 10!/7!.

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• A:

There are 10,000 combinations of four numbers when numbers are used multiple times in a combination. There are 5,040 combinations of four numbers when numbers are used only once.