How many different committees of 6 professionals can be formed, if each committee contains at least 1 Professor, at least 2 Technical Managers and 1 Database Experts from list of 6 Professors, 5 Technical Managers and 8 Database Experts?
Answers
Answer:
2 committies
Step-by-step explanation:
Each committee needs atleat 1 professor, 2 Technical Managers and 1 Database expert.
So, if we make 2 committees, we get 2 professor, 4 Technical Managers, and 2 database managers.
rest reamining will be 6 Database Experts, 1 Technical Manager and 4 Professors.
Given: 6 Professors, 5 Technical Managers and 8 Database Experts
To find: different committees of 6 professionals can be formed, if each committee contains at least 1 Professor, at least 2 Technical Managers and 1 Database Experts
Solution:
Total professionals= 6+5+8= 19
The probability of selecting at least 1 Professor to make 6 professionals= 6c2
=15
The probability of selecting at least 2 Technical Managers to make 6 professionals= 5c3= 10
The probability of selecting 1 data base expert= 8c1= 8
The commities will be = 15 into 10into 8/ 19c6= 1200/27132= 100/ 2261.
How many different committees of 6 professionals can be formed, if each committee contains at least 1 Professor, at least 2 Technical Managers and 1 Database Experts is 100/2261.