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Q.

The letters of the word ‘VICTORY’ are arranged in all possible ways, and the words thus obtained are arranged as in a dictionary. Then the rank of given word is

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a

3732

b

5309

c

5040

d

3733

answer is A.

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Detailed Solution

$\frac{C I O R T V Y}{V I E T O R Y}$

$R A N K = 5 \times 6! + 1 \times 5! + 2 \times 3! + 1$

$= 3733$

$∴$ The rank of given word is 3733

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