perplexus.info :: Numbers : All Combos

All Combos (Posted on 2024-05-08)

N is a positive integer such that N! expressed in decimal contains:
(A) all of the digits 0 to 9
(B) all of the 2-digit combinations 00, 01, ..., 99
(C) all of the 3-digit combinations 000, 001, ..., 999

Find the smallest value of N in conformity with the given conditions.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) 23! (B) 220! (C) 2091!
For an explanation, refer to:
The solution submitted by Larty in this location.
The solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution	Charlie	2024-05-08 09:17:31
Computer solution	Larry	2024-05-08 07:50:26

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