Rank of the word REPUBLIC in the dictionary of words formed by the letters of the word REPUBLIC ?

M4maths Previous Puzzles

27 Jan 2020 RANK

Rank of the word REPUBLIC in the dictionary of words formed by the letters of the word REPUBLIC ?

OPtion

1) 32261
2) 32262
3) 32259
4) 32254
5) 32246
6) 32253
7) 32255
8) 32257
9) 32260
10) None of these

Solution

6*7! + 2*6! + 4*5! + 4*4! + 0*3! + 2*2! + 1*1! + 0*0!

30240 + 1440 + 480 + 96 + 0 + 4 + 1 + 0 = 32261
32261 + 1 = 32262
i.e., Rank of the word 'REPUBLIC' = 32262

Correct Option: 2 Best Solution (1)