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Different words are being formed by arra...

Different words are being formed by arranging the letter of the word 'ARRANGE'
Q. The rank of the word 'ARRANGE' in the dictionary is
a. 340
b. 341
c. 342
d. 343

A

340

B

341

C

342

D

343

Text Solution

Verified by Experts

The correct Answer is:
C
The letters in alphabetical order are AAEGNRR
`A Ato(5!)/(2!)=60ARAto4!=24`
`AE to (5!)/(2!)=60AREto4!=24`
`AG to(5!)/(2!)=60ARGto4!=24`
`AN to (5!)/(2!)=60ARN to 4!=24`
`"ARRAE"to2!=2" ARRAG"to2!=2`
`"ARRANEG"to1" ARRANGE"to1`
`therefore`Rank in dictionary
`=60+60+60+60+24+24+24+24+2+2+1+1=342`
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