Different words are being formed by arranging the letter of the word 'ARRANGE'
Q. The rank of the word 'ARRANGE' in the dictionary is

Options

A. 340
B. 341
C. 342
D. 343

Answer

C

Explanation

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`