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ksmith3894

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Aug 31, 2012
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Assume that X = { B, G, E, F, D} and Y = { 5, 2, 3}. A code consists of 2 different symbols selected from X followed by 3 not necessarily different symbols from Y.How many different codes are possible?
 
Hello, ksmith3894!

Assume that X = { B, G, E, F, D} and Y = { 5, 2, 3}.
A code consists of 2 different symbols selected from X followed by 3 not necessarily different symbols from Y.
How many different codes are possible?

Since these are codes, I assume that the order of the symbols is important.

There are \(\displaystyle 5\times 4 = 20\) choices for the two letters
. . and \(\displaystyle 3^3 = 27\) choices for the three letters.

Therefore, there are: .\(\displaystyle 20 \times 27 \,=\,540\) possible codes.
 
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