M4maths Previous Puzzles

12 Apr 2018 Rank of the word

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

OPtion

1) 212654
2) 212648
3) 212652
4) 212653
5) 212660
6) 212656
7) 212594
8) 212294
9) 212292
10) None of these

Solution

Answer: 212654

Lets arrange the letters of UBIQUITOUS alphabetically = BIIOQSTUUU

Words starting with B = 9!/(2!*3!) = 30240
Words starting with I = 9!/(3!) = 60480
Words starting with O = 9!/(2!*3!) = 30240
Words starting with Q = 9!/(2!*3!) = 30240
Words starting with S = 9!/(2!*3!) = 30240
Words starting with T = 9!/(2!*3!) = 30240

Words starting with UBII = 6!/(2!) = 360
Words starting with UBIO = 6!/(2!) = 360
Words starting with UBIQI = 5!/(2!) = 60
Words starting with UBIQO = 5!/(2!) = 60
Words starting with UBIQS = 5!/(2!) = 60
Words starting with UBIQT = 5!/(2!) = 60

Words starting with UBIQUIO = 3! = 6
Words starting with UBIQUIS = 3! = 6
Words starting with UBIQUITOSU = 1
and next word is UBIQUITOUS = 1

Sum of all = 212654

Option 1)

Correct Option: 1 Best Solution (0)