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Question

If a 6 digits number's are formed using the digits 0,1,3,3,6,7 and arranged in ascending order, then the position of the number ′′631307′′ is

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Solution

Numbers cannot start from 0
Total numbers starting from 1 are 5!2!=60
Total numbers starting from 3 are 5!=120
Total numbers starting from 60 are 4!2!=12
Total numbers starting from 61 are 4!2!=12
Total numbers starting from 630 are 3!=6
Total numbers starting from 6310 are 2!=2
Next number will be ′′631307′′
position of the number ′′631307′′=60+120+12+12+6+2+1=213

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