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JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Mock Test - Permutations and Combinations

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

    A) 18                    

    B) 27

    C) 45                   

    D) 56

    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.


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