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There are seven cards with colors and numbers:

"1.blue"
"1.red"
"2.violet"
"3.orange"
"5.green"
"6.indigo"
"6.yellow"

Mr. Q said, "Make a rainbow with these cards."

Then, Mr. A placed the cards as follows:

"1.red"
"3.orange"
"6.yellow"
"5.green"
"1.blue"
"6.indigo"
"2.violet"

But Mr. Q said, "The positions of the two cards have changed!"

What is the correct order of the cards?

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2 Answers 2

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Mr. Q wants us to take.

The nth letter of the color on a given card.

For example, the card "1.red" becomes:

R, because that's the first letter in red.

Using this, the order needs to be:

"1.red"
"3.orange"
"2.violet"
"5.green"
"1.blue"
"6.indigo"
"6.yellow"

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The order that Mr Q. means is

      "1.|r|ed"
    "3.or|a|nge"
     "2.v|i|olet"
  "5.gree|n|"
      "1.|b|lue"
 "6.indig|o|"
 "6.yello|w|"

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