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  • shahkb4
    3 June, 2026 at 8:22 pm #1103

    The letters of the word “UDAYPUR” are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word “UDAYPUR” is
    [JEE MAIN 24 Jan 2026 S II]
    (1) 1580
    (2) 1578
    (3) 1579
    (4) 1581

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    shahkb4
    3 June, 2026 at 8:22 pm #1104

    Solution

    A, D, P, U,U,Y
    A □ such words $=6!/ 2!=360$
    D $\_\_\_\_$ such words $=6!/ 2!=360$
    $\mathrm{P}—-$ such words $=6!/ 2!=360$
    R $\_\_\_\_$ such words $=6!/ 2!=360$
    Till $\overline{\mathrm{n}} \overline{\mathrm{ow}} \overline{1} 4 \overline{4} 0$ words

    U

    U A □ such words $=5!=120$
    left → D, P, R, U, Y
    Till now 1560 words
    U D A P $\_\_\_\_$ such words $=3!=6$
    left R,V,Y
    U D A R $\_\_\_\_$ such words $=3!=6$
    left P,U,Y
    U D A U $\_\_\_\_$ such words $=3!=6$
    left R,P,Y
    Till now 1578 words
    UDAYPRU $\rightarrow 1579{ }^{\text {th }}$ word
    UDA Y P U R $\rightarrow 1580{ }^{\text {th }}$ word Answer(1)

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