Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The number of ways in which a score of 11 can be made from a through by three persons, each throwing a single die once, is  Option: 1 <p dir

The number of ways in which a score of 11 can be made from a through by three persons, each throwing a single die once, is
 

Option: 1

45
 


Option: 2

18
 


Option: 3

27
 

 


Option: 4

68


Answers (1)

best_answer

\\\text{Coefficient of x}^{11} \mathrm{in}\\ \: \: \: \: \: \\\: \: \: \: \: \left(x^1+x^2+x^3+x^4+x^5+x^6\right)^3\\ \\\text{Coefficient of x}^{11}\text{in}\\ \: \: \: \: \: \: \: \: \\\text{x}^3\left(1+x+x^2+x^3+x^4+x^5\right)^3

Or Coefficient of x^{11} in 

                  x^3\left(1-x^6\right)^3(1-x)^{-3}

Or Coefficient of x^{8} in 

                   \begin{aligned} \left(1-3 x^6\right)(1 & \left.+{ }^3 C_1 x+{ }^4 C_2 x^2+\ldots\right) \\ \\& ={ }^{10} C_8-3 \cdot{ }^4 C_2 \\ \\& ={ }^{10} C_2-3 \cdot{ }^4 C_2 \\ \\& =45-18 \\ \\& =27 \end{aligned}

Posted by

himanshu.meshram

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question