Vidyalelo
Aptitude · Q16

Permutation And Combination

Competitive Exams · Aptitude · question 16

Q16

If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the word KUBER will be:

A.
67
Answer
B.
68
C.
65
D.
69

Answer: Option A

Solution

Answer: Option A
Solution:
Step 1: Arrange the letters in alphabetical order
The word KUBER consists of the letters:
B, E, K, R, U (sorted order)

Step 2: Count words before "KUBER"
Words starting with 'B' = 4! = 24
Words starting with 'E' = 4! = 24
Words starting with 'K' and second letter 'B' = 3! = 6
Words starting with 'K' and second letter 'E' = 3! = 6
Words starting with 'K' and second letter 'R' = 3! = 6

Step 3: Find the position of "KUBER"
After 24 (B) + 24 (E) + 6 (KB) + 6 (KE) + 6 (KR) = 66 words, the next word is KUBER

Rank of "KUBER" = 67

Final Answer: Option A (67)