Q: How many 3 digit numbers can you make using the numbers 1 5 and 9 only using them once in every number?

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210

There are 2 choices for every digit in the 6-digit number. So 26 is 2*2*2*2*2*2. The answer to that is 64.

24680

There are 5 numbers which can make the 3 digit numbers in this example. Therefore each digit in the 3 digit number has 5 choices of which number can be placed there. Therefore number of 3 digit numbers = 5 x 5 x 5 = 125

625×2=1250

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From left to right, pick the smallest possible digit every time. This will give you the smallest possible number.

Number of 7 digit combinations out of the 10 one-digit numbers = 120.

210

There are 2 choices for every digit in the 6-digit number. So 26 is 2*2*2*2*2*2. The answer to that is 64.

There are 5 numbers which can make the 3 digit numbers in this example. Therefore each digit in the 3 digit number has 5 choices of which number can be placed there. Therefore number of 3 digit numbers = 5 x 5 x 5 = 125

24680

625×2=1250

1,023.

88,888

123478

998,000

Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.