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A four digit positive number having all non-zero distinct digits is such that the product of all the digits is least...

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A four digit positive number having all non-zero distinct digits is such that the product of all the digits is least. If the difference of hundreds digit and tens digit is 1.
How many possibilities are there of such number?

posted Oct 22, 2015 by anonymous

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2 Answers

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The product would be least if and only if 2 is at hundred's position and 1 is at 10's position.
that way two number are fixed for 100's and 10's position
now rest can be selected in 7c1x6c1=42 ways is your answer

answer Mar 22, 2016 by Shahsikant Dwivedi
0 votes

4321,2431,4213,3214,1324,1432,

answer Feb 8, 2018 by Ayyavoo Nachimuthu
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