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In order for the number to be less than 500 the first digit must be 3 or 4. The second digit can be any of 3,4,5 or 6 not equal to the first and the last can be any of 3,4,5 or 6 not equal to the first or the second. This leads to the following 12=2*3*2 possibilities:

345 435

346 436

354 453

356 456

364 463

365 465

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Q: How many 3 digit numbers less than 500 can be made using the digits 3 4 5 6 if the digits cannot be repeated in the numbers?
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