Question

The number of ways in which a score of 11 can be obtained by throwing three dice is

Answer 1

Answer: There are 27 total ways to get 11.

Step-by-step explanation:

An easier way to solve this would probably be as follows:

If Person 1 gets a 1, the Person 2 & 3 need a combined 10, which can be done in 3 ways.

If Person 1 gets a 2, the Person 2 & 3 need a combined 9, which can be done in 4 ways.

If Person 1 gets a 3, the Person 2 & 3 need a combined 8, which can be done in 5 ways.

If Person 1 gets a 4, the Person 2 & 3 need a combined 7, which can be done in 6 ways.

If Person 1 gets a 5, the Person 2 & 3 need a combined 6, which can be done in 5 ways.

If Person 1 gets a 6, the Person 2 & 3 need a combined 5, which can be done in 4 ways.

Adding this up, there are 27 total ways to get 11.

Answer 2

Step-by-step explanation:

Answer: There are 27 total ways to get 11.

An easier way to solve this would probably be as follows:

If Person 1 gets a 1, the Person 2 & 3 need a combined 10, which can be done in 3 ways.

If Person 1 gets a 2, the Person 2 & 3 need a combined 9, which can be done in 4 ways.

If Person 1 gets a 3, the Person 2 & 3 need a combined 8, which can be done in 5 ways.

If Person 1 gets a 4, the Person 2 & 3 need a combined 7, which can be done in 6 ways.

If Person 1 gets a 5, the Person 2 & 3 need a combined 6, which can be done in 5 ways.

If Person 1 gets a 6, the Person 2 & 3 need a combined 5, which can be done in 4 ways.

Adding this up, there are 27 total ways to get 11.