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In a question paper there are two parts ...

In a question paper there are two parts part A and part B each consisting of 5 questions. In how many ways a student can answer 6 questions, by selecting atleast two from each part?

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Case 1
`5C_2*5C_4=(5!)/(2!3!)=(5!)/(4!) =50`
Case 2
`5C_3*5C_3=10*10=100`
Case 3
`5C_4*5C_2=50`
Total=100+50+50=200.
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