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?
Can you give an example of your 8-digit "k nice" number?
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.
