Question

The result of $21$ football matches (win, lose, draw) are to be predicted. The number of different forecasts that can contain $19$ wins is

• A. $210$
• B. $640$
• C. $840$
• D. $1260$

Answer 1

The correct option is C $840$

Number of different forecasts for wins $={}^{21}{C}_{19}\times 1$
Also, number of forecasts for lose or draws $=2\times 2$
$\therefore$ Number of required forecasts $={}^{21}{C}_{19}\times 2\times 2=840$