All the 12-digit numbers, obtained by permuting 0, 0, 0, 0, 2, 2, 3, 4, 5, 6, 6, 6 together, are arranged in decreasing order. How many numbers are lying between 456006326020 & 665030642200 in the same order?
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HCR's Rank Formula-2 (Rank of Selective Linear Permutations)/ proposed by H. C. Rajpoot /20/11/2014
Q.No.1: Find out the rank in the increasing order of a randomly selected number 58014408 from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 1, 4, 5, 8, 9. Repetition of the digits is allowed in the permutations.
Q.No.2: Find out the total 8-digit numbers lying between 20227702 & 75007007 randomly selected from the set of all the 8-digit numbers, arranged in increasing order, obtained by the digits 0, 2, 5 & 7. Repetition of the digits is allowed in the permutations.