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Lakshmi Pratap Sarraf
Asked: 2022-11-09T01:08:48+05:30 In:

If letters of the word PATANA are arranged in all possible ways as in the dictionary, then the word PATANA from the last is ?

If letters of the word PATANA are arranged in all possible ways as in the dictionary, then the word PATANA from the last is ?
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  1. `PATANA` consists of `4` letters.Occurance of `P` is `1`.
    Occurance of `A` is `3`.
    Occurance of `T` is `1`.
    Occurance of `N` is `1`.
    Now, number of words starting from `A = (5!)/((2!) = 60`
    Number of words starting from `N = (5!)/(3!) = 20`
    Number of words starting from `PAA = 3! = 6`
    Number of words starting from `PAN = (3!)/(2!) = 3`
    Number of words starting from `PATAA = 1`
    So, total number of words that come before `PATANA = 60+20+6+3+1= 90`
    Total number of words that can be formed by the given letters `= (6!)/(3!) = 120`
    So, `PATANA` from last is ` = 120-90 = 30`

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