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Bunuel
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Ganeshsrinivasan
I had a simple question, the problem says how many different ways, order doesn't matter, shouldn't we be using permutation than combination ? I think it should be 10P3 x 3P2

Yes, order does not matter and that's why we are using combinations and not permutation. 10C3 gives different unordered groups of 3 out of 10 and 3C2 gives different unordered groups of 2 out of 3. Multiplying those two gives the answer.
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I think this is a high-quality question and I agree with explanation.
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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