Question

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

• A. $8$
• B. $27$
• C. $45$
• D. $56$

Answer 1

The correct option is 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
$=3!+\frac{3!}{2!}+3!+3!+\frac{3!}{2!}+\frac{3!}{2!}=27\text{ways.}$