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How many numbers are there in all 6000 to 6999 (Both 6000 and 6999 included) having at least one of their digits repeated

How many numbers are there in all 6000 to 6999 (Both 6000 and 6999 included) having at least one of their digits repeated?

(a)

216

(b)

356

(c)

496

(d)

504

Answer:

(c)

Explanation

496 numbers have at least one repeated digit in the range 6000-6999.