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+1 vote
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in Combinatorics and Mathematical Induction by (46.9k points)
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If the letters of the word GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words 

(i) GARDEN 

(ii) DANGER.

1 Answer

+3 votes
by (49.1k points)
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Best answer

The given letters are GARDEN. 

To find the rank of GARDEN: 

The given letters in alphabetical order are A D E G N R

(i) GARDEN 

The rank of GARDEN is 379 

(ii) The No. of words starting with A = 5! =120

The rank of DANGER is 135

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