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Question

Different words are being formed by arranging the letters of the word ARRANGE. All the words obtained are written in the form of a dictionary
The rank of the word ARRANGE in a dictionary is

A
344
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B
342
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C
343
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D
340
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Solution

The correct option is C 342
Starting with AA: Letters are E G N R R: 5!2!=60

Starting with AE: Letters are A G N R R: 5!2!=60

Starting with AG: Letters are A E N R R: 5!2!=60

Starting with AN: Letters are A E G R R: 5!2!=60

Starting with ARA: Letters are E G N R: 4!=24

Starting with ARE: Letters are A G N R: 4!=24

Starting with ARG: Letters are A E N R: 4!=24

Starting with ARN: Letters are A E G R: 4!=24

Starting with ARRAE: Letters are G N: 2!=2

Starting with ARRAG: Letters are E N: 2!=2

Starting with ARRANE: Letter is G: 1!=1

Finally, we get ARRANGE 1 word

Thus, its rank = 60×4+24×4+2×2+1+1=342

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