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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re: spoiler, hopefully

| Comment 2 of 4 |

(In reply to spoiler, hopefully by Ady TZIDON)

73-(17+45)=11, which is divisible by 11. Therefore, the probability is 1.

Posted by Math Man on 2013-08-19 11:09:15

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