The letters of the word GOTHAM are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word GOTHAM?
A
212
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B
213
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C
201
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D
210
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Solution
The correct option is B
213
The rank of the word GOTHAM = 5!+3.4!+3.3!+1.2!+1 = 213