If the letter of word VICTORY are arranged in order of a dictionary.then rank of the word victory

If the letter of word VICTORY are arranged in order of a dictionary.then rank of the word victory.

Step:

Arrange given letter in alphabetical order

CIORTVY

Now start counting from c untill we get starting letter of word VICTORY.

Number of words starting from C is 6!

Number of words starting from I is 6!

Number of words starting from O is 6!

Number of words starting from R is 6!

Number of words starting from T is 6!

Now,we got V the starting letter of VICTORY

now,let search for second word again from start of alphabet order CIORTVY .But now ignore V or remove it as we have found it.

Hence we have the alphabet order or dictionary order as CIORTY

Number of words starting from C is 5!

Now, we found the second letter of VICTORY too that is I.Now,dictionary order is CORVY.again start from start of dictionary order CORVY.

Now we have 3rd letter of VICTORY.so need to count.so dictionary order is now ORVY.again start count from start of ORVY.

number of letter starting from O are 3!

Number of letter starting from R are 3!

Now remaining nothing is remaining 0!=1

Hence now permutation

=5 *6! + 5! +2 *3! +1

=3600+120+12+1

=3733