Permutations
Question
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
Moderate
Solution
A D M N O R (in order)
Number of words beginning with
A _ _ _ _ _ = 5!
D _ _ _ _ _ = 5!
M _ _ _ _ _ = 5!
N _ _ _ _ _ = 5!
O _ _ _ _ _ = 5!
R A D _ _ _ = 3!
R A M _ _ _ = 3!
R A N D M O = 1
R A N D O M = 1
___________________
Rank of word RANDOM = 614
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