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  • The results of 21 football matches (win, lose or draw) are to be predicted. The number of forecasts that contain exactly 18 correct results isOption: 1

The results of 21 football matches (win, lose or draw) are to be predicted. The number of forecasts that contain exactly 18 correct results is

Option: 1

\mathrm{{ }^{21} C_{3} \: 2^{18}}


Option: 2

\mathrm{{ }^{21} C_{18} \: 2^{3}}


Option: 3

\mathrm{{ }^{21} C_{18} 2^{3}}


Option: 4

\mathrm{{ }^{21} C_{3} \, 3^{21}-2^{18}}


Answers (1)

best_answer

18 correct results can be predicted in \mathrm{{ }^{21} C_{18}} ways and 3 wrong results in \mathrm{2^{3}} ways. Thus, required number of ways is \mathrm{{ }^{21} C_{18} \, 2^{3}}.

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manish

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