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  • The number of ways of distributing 3 identical physics books and 3 identical mathematics books among three students such that each student gets at least one book is<stro

The number of ways of distributing 3 identical physics books and 3 identical mathematics books among three students such that each student gets at least one book is

Option: 1

45

 


Option: 2

55
 


Option: 3

64

 


Option: 4

72


Answers (1)

best_answer

\begin{aligned} & n(A)={ }^{3+2-1} C_{2-1} \times{ }^{3+2-1} C_{2-1}=16 \\ \\& n(B)=n(C)=16 \\ \\& n(A \cap B)={ }^{3+2-1} C_{1-1} \times{ }^{3+2-1} C_{1-1} \\ \\& =1=n(B \cap C)=n(A \cap C) \\ & \end{aligned}

Required no. of ways =100-(16+16+16-1-1-1+0)

=55

Posted by

sudhir.kumar

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