exam Maths Puzzle Numerical Ability

For this question pretend you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military before Saddam Hussein and his gang were

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one number is 12 more then another, the sum of the smaller number and twice the larger number is 39 find the large number x= the first number and y= the second number so is it 12 + x = y or 2x +y = 32 Permutations are just an application of fundamental counting principle. Combinations are just a application of Permutations and the counting principle. So would you say that Combinations are also just an application of the counting principle?