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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.

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. Correct Answer 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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