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What would the equation be if the Farm Agency could use the letters A, B, C and blank spaces?

 Nov 5, 2014

Best Answer 

 #1
avatar+130511 
+5

I'm making the following assumptions

1) There are 3 spaces for the letters but we can have repeats

2) There are "N" blank spaces

So, the total number of spaces is N + 3

And we want to fill 3 of the spaces with a letter (allowing repeats)......so we have 33 = 27 ways of choosing the letters.

And the number of arrangements of these blank spaces and letters is just C(n+3, 3),

So the total possibllities are  27*C(n+3, 3)

 

 Nov 5, 2014
 #1
avatar+130511 
+5
Best Answer

I'm making the following assumptions

1) There are 3 spaces for the letters but we can have repeats

2) There are "N" blank spaces

So, the total number of spaces is N + 3

And we want to fill 3 of the spaces with a letter (allowing repeats)......so we have 33 = 27 ways of choosing the letters.

And the number of arrangements of these blank spaces and letters is just C(n+3, 3),

So the total possibllities are  27*C(n+3, 3)

 

CPhill Nov 5, 2014

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