The letters of the word

Question

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 [2026]

Smart Achievers · Accepted Answer

(3)

$ADIPRUU$

$A \to \frac{6!}{2!} = 360$

$D \to \frac{6!}{2!} = 360$

$P \to \frac{6!}{2!} = 360$

$R \to \frac{6!}{2!} = 360$

$U A \to 5! = 120$

$U D A P \to 3! = 6$

$U D A R \to 3! = 6$

$U D A U \to 3! = 6$

$U D A Y P R U \to 1$

$U D A Y P U R \to 1$

$Total = 1580$

Solution

Q.
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 [2026]

1 1579

2 1581

3 1580

4 1578

Ans.
(3)

$ADIPRUU$

$A \to \frac{6!}{2!} = 360$

$D \to \frac{6!}{2!} = 360$

$P \to \frac{6!}{2!} = 360$

$R \to \frac{6!}{2!} = 360$

$U A \to 5! = 120$

$U D A P \to 3! = 6$

$U D A R \to 3! = 6$

$U D A U \to 3! = 6$

$U D A Y P R U \to 1$

$U D A Y P U R \to 1$

$Total = 1580$

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