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Question

All the numbers that can be formed using 1, 2 ,3, 4, 5 are arranged in the decreasing order then the rank of 35 241 is

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Solution

We are arranging the terms in decreasing order
we want to find the position of the number 35241
but all the numbers starting with 5 and 4 coming before the number
so
number of terms starting with 5 is 4!=24
starting with 4 is 4!=24
starting with 354=2!=2
then the next number will be 35241
so number of terms before this number=24+24+2=50
so 51th term will be 35241

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