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A committee of 3 students is to be formed from Arts and commerce course. Number of students in arts and commerce course is 12 and 16.The number of possible ways of a committee from the commerce course is what percent of the number of possible ways of committee contains 3 students from the Arts course.1. 123.45 %2. 134.56 %3. 254.54 %4. 132.56 %5. 109.90 % |
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Answer» Correct Answer - Option 3 : 254.54 % Given Number of students in commerce course = 16 Number of students in arts course = 12 Calculation: Possible ways of forming committee from Arts course = 12C3 = 12 × 11 × 10 × 9!/3 × 2 × 1 × 9! = 220 Possible ways of forming committee from commerce course = 16C3 = 16 × 15 × 14 × 13!/ 3 × 2 × 1 × 13! = 560 Required percentage = (560/220) × 100 = 254.54 % |
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