Write all the three digits numbers using the digits $2, 3, 5$ taking each digit only once.

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Solution

Write the numbers starting with each digit
Numbers starting with $2 = 235 and 253$
Numbers starting with $3 = 325 and 352$
Numbers starting with $5 = 523 and 532$
Hence, required three digits numbers are $235, 253, 325, 352, 523 and 532$

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