perplexus.info :: Probability : Walking the Blank

Walking the Blank (Posted on 2013-08-19)

Find the probability that if each of the digits 0, 1, 2, ..., 9 be placed exactly once in random order in the blank spaces of:

5_383_8_2_936_5_8_203_9_3_76

the resulting number will be divisible by 396.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (3 votes)

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spoiler, hopefully

| Comment 1 of 4

ANS: ZERO

The resulting number will be divisible by 36 (sod=90+45,
ends by..76), but cannot be divisible by 11,

since 73-(17+45) is not 0 mod 11.

REM: unless I've erred in my hasty addition.

Anyway, why D3?

Posted by Ady TZIDON on 2013-08-19 10:46:19

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