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a digit k is called nice if there are exactly k digits k in the number. How many 8 digit numbers.are there so that all their digits are nice and no digit is smaller than any other digit to the left of it?

Guest Sep 17, 2018
 #1
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Can you give an example of your 8-digit "k nice" number?

Guest Sep 17, 2018
 #2
avatar+94100 
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12345678

12233344 that is no good  so it can't have 1 2 AND 3

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13334444 that works

12255555 that works

33355555

22666666

17777777

88888888

 

That is it.  There are 6 of them.

Melody  Sep 17, 2018

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