How many different committees can be formed of 12 professionals, each
containing at least 2 Professors, at least 3 Lecturers and 3 Administrative
Officers, from a set of 5 Professors, 8 Lectures, and 5 Administrative
Officers.
Answers
Answered by
2
Only one such committees can be formed.
anumolbabu380:
could you please provide the explanation?
ok if there would have been 6 adminstrative officers then 2 commitees could have been formed . If we take out 2 proffessors , 3 lectures and 3 administrative officers from the people available then there will be 3 proffesors , 5 lectures and 2 administrative officers left.
Answered by
3
Total number of ways = 5C2 * 8C3 * 5C3
= 5!/(5-2)*2! * 8!/(8-3)*3! * 5!/(5-3)!3!
= 10 * 56 * 10
= 5600.
Hope this helps!
= 5!/(5-2)*2! * 8!/(8-3)*3! * 5!/(5-3)!3!
= 10 * 56 * 10
= 5600.
Hope this helps!
really helpful..thank you ..
Thank you for the brainliest
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