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All the numbers that can be formed using the digit 1, 2, 3, 4, 5 are arranged in the decreasing order of magnitude. The rank of 34215 is

Text Solution

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Here, we are given five numbers. So, number with lowest rank will start from 5.
Rest 4 digits can be arranged in `4!` ways.
After that, we`'`ll take number starting with 4.
They can also be arranged in `4!` ways.
Now, we will take number starting with 3.
Our number 34215 starts with 3 and highest number after 3 is 5.
So, number starting with 35 can be arranged in `3!` ways.
Now, number starting with 345 can be arranged in `2!` ways.
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