Question
Question: The letters of the word RANDOM are written in all possible orders and these words are written out as...
The letters of the word RANDOM are written in all possible orders and these words are written out as in a dictionary. Then the rank of the word RANDOM is
A
614
B
615
C
613
D
616
Answer
614
Explanation
Solution
\begin{tabular} { | l | l | l | l | l | l | } \hline R & A & N & D & O & M \ \hline \end{tabular}
(5 × 5!) + (0 × 4!) + (2 × 3!) + (0 × (2) + (1 × 1!) + (1 × 0!)
= 600 + 0 + 12 + 0 + 1 + 1 = 614