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In an examination the question paper has three sections namely physics, chemistry & Biology containing 5, 6 & 7 questions respectively. As per the rule a student has to answer minimum 3 questions from each section. In how many ways a student can attempt 10 questions

by | Mar 21, 2022 | Uncategorized | 0 comments

(Q). In an examination the question paper has three sections namely physics, chemistry & Biology containing 5, 6 & 7 questions respectively. As per the rule a student has to answer minimum 3 questions from each section. In how many ways a student can attempt 10 questions?
Solution:-
As per question we have following 3 cases:-

case(i)case(ii)case(iii)Physics (5)Chemistry (6)Biology (7)Number of ways3 (in = 10 ways)4 (in = 15 ways)4 (in = 35 ways)10×20×35 = 700010×15×35 = 52504 (in = 5 ways)3 (in = 10 ways)3 (in = 20 ways)3 (in = 20 ways)3 (in = 35 ways)3 (in = 35 ways)5×20×35 = 3500

Hence total number of ways is 7000 + 5250 + 3500 = 15750 ways        Answer

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