A person predicts the outcome of 20 cricket matches of his home team. Each match can result in either 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 a. ${}^{20}{C}_{10}\times 2^{10}$ b. ${}^{20}{C}_{10}\times 3^{20}$ c. ${}^{20}{C}_{10}\times 3^{10}$ d. ${}^{20}{C}_{10}\times 2^{20}$

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