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Now drop the condition that each digit must be used exactly once. List the numbers that are possible now and find the numbers that were not listed above.

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Here repetition of digits allowed.

Fixing 9 for a thousand places we have

Fixing 6 for thousand places we have

Fixing 5 for thousands place

Fixing 3 for thousands place, we get

Thus we have 4 × 4 × 4 × 4 = 256 numbers.

(ii) The underlined 24 numbers were listed as the numbers with non-repeated digits. Remaining numbers are not listed in the previous list.

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