The letter of the word 'OUGHT' are written in
all possible orders and these words are written out as in a dictionary. Find the rank of the word 'TOUGH' in dictionary.

Question

The  letter of the word 'OUGHT' are written in
all possible orders and these words are written out as  in a dictionary. Find the rank of the word 'TOUGH' in dictionary.

goformit100 · Answer

It's an Olympiad question.

shamim · Answer

rank means

mathslover · Answer

What do you think should be the first step to solve this question goformit?

hero · Answer

I think the first step is to do find a dictionary

goformit100 · Answer

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Is it the first step ?

mathslover · Answer

Why do you think that it should  be 4P4 ?

goformit100 · Answer

i guessed .... is it correct ?

goformit100 · Answer

I am totally blank in this topic .

primeralph · Answer

........I don't like this topic.........

mathslover · Answer

Oh! Then you may not be able to understand even if someone answers it. The topic is very nicely explained here : http://www.mathsisfun.com/combinatorics/combinations-permutations.html Please first check out that link, and then you will be able to solve it.

primeralph · Answer

What they mean is,
1. arrange all the letters in any possible order.
2. Assume each word is valid and is to be placed in a dictionary
3. If the words are counted in order of occurrence, what number with TOUGH be?

goformit100 · Answer

Ok

primeralph · Answer

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