SOLUTION: 1.A board game uses tokens with colored plastic and each token has 4 different regions with a different color: either red, green, yellow, blue, orange, or purple. How many differe

Question 277185: 1.A board game uses tokens with colored plastic and each token has 4 different regions with a different color: either red, green, yellow, blue, orange, or purple. How many different tokens are possible?
2. Identification codes are given sequentially, starting with 0000, 0001, 0002, 0003, 0004, etc. When this reaches 9999, a new form from the set (A...Z) begins in order is added. After this, the sequence of identifaction adds two letters, so the process is as follows: 0000 ... 9999, A0000, A0001, ..., A9999, B0000, B0001 ...., B9999 ... Z0000, Z0001, Z9999, AA0000, AA0001, ....
Using this info., describe the number identification codes you can have using two or fewer letters.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.A board game uses tokens with colored plastic and each token has 4 different regions with a different color: either red, green, yellow, blue, orange, or purple. How many different tokens are possible?
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Select 4 colors in 6C4 = 6C2 = (6*5)/(1*2) = 15 ways
Question: Does order of the colors make a difference?

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2. Identification codes are given sequentially, starting with 0000, 0001, 0002, 0003, 0004, etc. When this reaches 9999, a new form from the set (A...Z) begins in order is added. After this, the sequence of identifaction adds two letters, so the process is as follows: 0000 ... 9999, A0000, A0001, ..., A9999, B0000, B0001 ...., B9999 ... Z0000, Z0001, Z9999, AA0000, AA0001, ....
Using this info., describe the number identification codes you can have using two or fewer letters.
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0000-9999 gives 10,000 codes
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Using one letter followed by the digits you could get 26*10000 codes
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Repeating the letter followed by the digits you could get 26*100000 codes
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Question: If you can switch to AB00000 then AC00000 etc. you get a lot more.
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Cheers,
Stan H.

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