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A password consists of 3 randomly selected letters, which must be in the correct order. There are 26 letters in the alphabet. How many passwords are possible if no letter may be repeated?

 May 27, 2014

Best Answer 

 #3
avatar+118723 
+5

26*25*24=15600

or

$$^{26}P_3 =$$     $${\left({\frac{{\mathtt{26}}{!}}{({\mathtt{26}}{\mathtt{\,-\,}}{\mathtt{3}}){!}}}\right)} = {\mathtt{15\,600}}$$

 May 27, 2014
 #1
avatar+3502 
0

what are you a hacker?

 May 27, 2014
 #2
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0

we can make 24 passwords

 May 27, 2014
 #3
avatar+118723 
+5
Best Answer

26*25*24=15600

or

$$^{26}P_3 =$$     $${\left({\frac{{\mathtt{26}}{!}}{({\mathtt{26}}{\mathtt{\,-\,}}{\mathtt{3}}){!}}}\right)} = {\mathtt{15\,600}}$$

Melody May 27, 2014

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