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In the game of JUMBLE, the letters of a word are scrambled. The player must form the correct word. In a recent game in a local newspaper, the Jumble “word” was LINCEY. How many different possible arrangements of these letters are there to form different 6 letter words?

 Oct 6, 2014

Best Answer 

 #3
avatar+118587 
+10

Isilber17  is correct I shall try to explain.

There are 6 letters and they are all different.

I will assume that the letters cannot be repeated - I think that is the intended meaning of the question.

 

You choose the fist letter  there are 6 possible outcomes.

now you choose the next letter, there are 5 possible ourcomes because one has already been chosen.

so the number of ways 2 letters can be chosen is 6*5

now you choose the third letter.  there are 4 possible letters available to choose from.  

So the number of ways you can choose 3 letters is 6*5*4

etc

the number of ways you can choose all 6 letters where the order is very important is 6*5*4*3*2*1 = 6!

 

Does that help?

 Oct 7, 2014
 #1
avatar+109 
+5

with repitition $${{\mathtt{6}}}^{{\mathtt{6}}} = {\mathtt{46\,656}}$$ 

without repitition $${\mathtt{6}}{!} = {\mathtt{720}}$$

I don't know how many combinations would specifically form an existing word.

 Oct 6, 2014
 #2
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0

i dont understand

 Oct 6, 2014
 #3
avatar+118587 
+10
Best Answer

Isilber17  is correct I shall try to explain.

There are 6 letters and they are all different.

I will assume that the letters cannot be repeated - I think that is the intended meaning of the question.

 

You choose the fist letter  there are 6 possible outcomes.

now you choose the next letter, there are 5 possible ourcomes because one has already been chosen.

so the number of ways 2 letters can be chosen is 6*5

now you choose the third letter.  there are 4 possible letters available to choose from.  

So the number of ways you can choose 3 letters is 6*5*4

etc

the number of ways you can choose all 6 letters where the order is very important is 6*5*4*3*2*1 = 6!

 

Does that help?

Melody Oct 7, 2014

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