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

M4maths Previous Puzzles

25 Jan 2019 Rank of the word

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

OPtion

1) 564
2) 563
3) 569
4) 571
5) 570
6) 572
7) 555
8) 554
9) 553
10) None of these

Solution

Answer: 571

VALENTINES
Lets arrange the letters alphabetically INDIANS => ADIINNS

Words starting with A = 6!/(2!*2!) = 180
Words starting with D = 6!/(2!*2!) = 180
Words starting with IA = 5!/(2!) = 60
Words starting with ID = 5!/(2!) = 60
Words starting with II = 5!/(2!) = 60

Words starting with INA = 4! = 24

Words starting with INDA = 3! = 6

And next word is INDIANS = 1
Sum of all = 571

Correct Option: 4 Best Solution (0)