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A question paper is divided into three groups A, B and C which
contain 4, 4 and 3 questions respectively. An examinee is
required to answer 6 questions 2 from A, 2 from B, 1 from C
and 1 from any group he/she likes. In how many ways can
he/she afford to choose questions?
Solution:
There are 3 cases
Case I 3 from A, 2 from B and 1 from C.


 

 

= 
Case II 2 from A, 3 from B and 1 from C.


 

 

= 
Case III 2 from A, 2 from B and 2 from C.


 

 

= 
Number of ways = Case I + Case II + Case III
  稲介 =  +  +  =

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A question paper is divided into three groups A.docx

  • 1. A question paper is divided into three groups A, B and C which contain 4, 4 and 3 questions respectively. An examinee is required to answer 6 questions 2 from A, 2 from B, 1 from C and 1 from any group he/she likes. In how many ways can he/she afford to choose questions? Solution: There are 3 cases Case I 3 from A, 2 from B and 1 from C. = Case II 2 from A, 3 from B and 1 from C. = Case III 2 from A, 2 from B and 2 from C. = Number of ways = Case I + Case II + Case III 稲介 = + + =