The letters of the word "DANGER" are permuted in all possible ways and the words thus formed are arranged as in a dictionary. The rank of the word "DANGER" is

132

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133

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134

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135

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Solution

The correct option is B $135$
Number of words starting with A $= 5!$
Number of words starting with DAE $= 3!$
Number of words starting with DAG $= 3!$
Next following words are DANEGR, DANERG and DANGER
$∴$ Rank of the word 'DANGER' $= 120 + 6 + 6 + 3 = 135$

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The letters of the word "DANGER" are permuted in all possible ways and the words thus formed are arranged as in a dictionary. The rank of the word "DANGER" is

The correct option is B 135Number of words starting with A =5!Number of words starting with DAE =3!Number of words starting with DAG =3!Next following words are DANEGR, DANERG and DANGER∴ Rank of the word 'DANGER' =120+6+6+3=135

The correct option is B $135$
Number of words starting with A $= 5!$
Number of words starting with DAE $= 3!$
Number of words starting with DAG $= 3!$
Next following words are DANEGR, DANERG and DANGER
$∴$ Rank of the word 'DANGER' $= 120 + 6 + 6 + 3 = 135$