The number of ways in which a score of 11 can be made from a throw by three persons,each throwing a single die once, isA. 45B. 18C. 27D. 68

The number of ways in which a score of 11 can be made from a throw by

1.	The number of ways in which a score of 11 can be made from a throw by three persons,each throwing a single die once, isA. 45B. 18C. 27D. 68
Answer» Correct Answer - C Coefficient of `x^(11)` in `(x+x^(2)+x^(3)+x^(4)+x^(5)+x^(6))^(3)` =Coefficient of `x^(8)` in `(1+x+x^(2)+x^(3)+x^(4)+x^(5))^(3)` =Coefficient of `x^(8)` in `(1-x^(6))^(3)(1-x)^(-3)` =Coefficient of `x^(8)` in `(1-3x^(6))(1+.^(3)C_(1)x+ . . )` `=.^(10)C_(2)-3xx.^(4)C_(2)=45-18=27`

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The number of ways in which a score of 11 can be made from a throw by three persons,each throwing a single die once, isA. 45B. 18C. 27D. 68

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