Permutations And Combinations Question 179

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

Options:

A) 18

B) 27

C) 45

D) 56

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Dice is marked with numbers 1, 2, 3, 4, 5, 6. If the sum of dice in three throws is 11, then observation must be 1, 4, 6;…1, 5, 5;…2, 3, 6;…2, 4, 5;…3, 4, 4. We can get this observation in 3!+3!/2!+3!+3!/2!+3!/2!=27 ways.