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

\[^{20}{{C}_{10}}\times {{30}^{20}}\]

\[^{20}{{C}_{10}}\times {{2}^{10}}\]

\[^{20}{{C}_{10}}\times {{30}^{10}}\]

\[^{20}{{C}_{10}}\times {{2}^{20}}\]

A person predicts the outcome of 20 cricket matches of his home team.

1.	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.	\[^{20}{{C}_{10}}\times {{30}^{20}}\]
C.	\[^{20}{{C}_{10}}\times {{30}^{10}}\]
D.	\[^{20}{{C}_{10}}\times {{2}^{20}}\]
Answer» B. \[^{20}{{C}_{10}}\times {{30}^{20}}\]

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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

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