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JEE MATHEMATICS MCQ: PERMUTATIONS

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A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions, so that exactly 10 predictions are correct, is equal to

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Correct option: A

{ }^{20} C_{10} \cdot 2^{10}

Option A (

{ }^{20} C_{10} \cdot 2^{10}

) is correct because it represents choosing the 10 correct matches and then the possibilities for the incorrect ones.

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