Q.

The rank of the word 'ARRANGE' in the dictionary is ________.


Ans.

(342)

The alphabetical order is A, E, G, N, R. The number of words beginning with AA is 5!2!=60, beginning with AE is 5!2!=60, beginning with AG is 5!2!=60, beginning with AN is 5!2!=60. Then come words beginning with ARA is 4!=24, beginning with ARE is 4!=24, beginning with ARG is 4!=24, and beginning with ARN is 4!=24, then come words beginning ARRAE is 2!=2, beginning with ARRAG is 2!=2, then next words are ARRANEG and ARRANGE.

Thus, the rank of ARRANGE is 60+60+60+60+24+24+24+24+2+2+2=342