Question

The number of ways in which we can get a score of $11$ by throwing a dice three times is

• A. $18$
• B. $27$
• C. $45$
• D. $56$

Answer 1

Answer: (B)

$27$

Dice is marked with numbers $1,2,3,4,5,6$. If the sum of dice in three throws is $11$, then observations must be

$1,4,6;...1,5,5;...2,3,6;...2,4,5;...3,3,5;...3,4,4$.

We can get this observation in $3!+\frac{3!}{2!}+3!+3!+\frac{3!}{2!}+\frac{3!}{2!}=27ways$.