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How many 5 letter password combinations can you form from 26 six letter alphabet if

b)you can use same letter only once

c)password must have exactly 2 e letters

e)password must have at least 3 e letters

 May 12, 2016

Best Answer 

 #2
avatar+23254 
+10

I'm not sure what is meant by "26 six letter alphabet" 

but in part b) if "you can use same letter only once" means that you have to use 5 different letters out of the possible 26, 

I believe that the answer to this part should be:  26 x 25 x 24 x 23 x 22  =  7 893 600  ways.

 May 12, 2016
 #1
avatar+118723 
+10

How many 5 letter password combinations can you form from 26 six letter alphabet if

b)you can use same letter only once

26^5 = 11881376

 

c)password must have exactly 2 e letters

25^3*5C2 = 

25^3*nCr(5,2) = 156250

 

e)password must have at least 3 e letters

 

25^2*nCr(5,3) = 6250            3 es

25*nCr(5,4) = 125                  4 es

nCr(5,5) = 1                            5es

 

6250+125+1 = 6376

 May 12, 2016
 #2
avatar+23254 
+10
Best Answer

I'm not sure what is meant by "26 six letter alphabet" 

but in part b) if "you can use same letter only once" means that you have to use 5 different letters out of the possible 26, 

I believe that the answer to this part should be:  26 x 25 x 24 x 23 x 22  =  7 893 600  ways.

geno3141 May 12, 2016
 #3
avatar+118723 
0

Thanks Geno,

You are right of course - I did not read/interpret the question properly ://

 May 12, 2016

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