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Q.

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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a

20C10×210

b

20C10×320

c

20C10×310

d

20C10×220

answer is A.

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Detailed Solution

Matches whose predictions are correct can be selected in 20C10 ways. Now each wrong prediction can be made in 2 ways. Thus, the total number of ways is 20C10×210.

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