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How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

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How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
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Required number of numbers
= number of permutations of 9 digits taking 3 at a time
`= ""^(9)P_(3) =(9xx8xx7)=504.`
Hence, the required number of numbers `=504.`
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