Problem:
If all the permutations of the word LUYDE is listed in the dictionary alphabetically, what is the rank of that word?
solution:
Arrange it first into alphabetical so DELUY
If D comes first, we have 4 remaining letters so 4! = 24 arrangements
If E Comes first, we have 4 remaining letters so 4! = 24 arrangements
If LD comes first, we have 3 remaining letters so 3! = 6 arrangements
If LE, we have 3! = 6 arrangements
If LUE we have 2! = 2 arrangements
If LUD we have 2! =2 arrangements
Finally, the word LUYDE appear so 1! = 1 arrangements
Add all arrangements
24+24+6+6+2+2+1 = 65, thus the word LUYDE is in rank 65th
Try this:
If all the permutations of the following words below is listed alphabetically, what is the rank of:
1. LORD
2. HATE
3. FADED
For more math tutorial, please see the hashtag #MMBLTutorial
-luyde
