Find Rank of the word VALENTINES in the dictionary of words formed by the letters of the word VALENT

M4maths Previous Puzzles

13 Feb 2018 Rank of the word

Find Rank of the word VALENTINES in the dictionary of words formed by the letters of the word VALENTINES

OPtion

1) 820485
2) 820461
3) 820484
4) 820477
5) 820476
6) 820475
7) 820482
8) 820483
9) 820481
10) None of these

Solution

Answer: 820485

VALENTINES
Lets arrange the letters alphabetically = AEEILNNSTV

Words starting with A = 9!/(2!*2!) = 90720
Words starting with E = 9!/(2!) = 181440
Words starting with I = 9!/(2!*2!) = 90720
Words starting with L = 9!/(2!*2!) = 90720
Words starting with N = 9!/(2!) = 181440
Words starting with S = 9!/(2!*2!) = 90720
Words starting with T = 9!/(2!*2!) = 90720

Words starting with VAE = 7!/(2!) = 2520
Words starting with VAI = 7!/(2!*2!) = 1260

Words starting with VALEE = 5!/(2!) = 60
Words starting with VALEI = 5!/(2!) = 60

Words starting with VALENE = 4! = 24
Words starting with VALENI = 4! = 24
Words starting with VALENN = 4! = 24
Words starting with VALENS = 4! = 24


Words starting with VALENTE = 3! = 6
Words starting with VALENTIE = 2! = 2

and the next Word is VALENTINES = 1



Sum of all = 820485

Correct Option: 1 Best Solution (0)