How many different 8 professionals committees can be formed each
containing at least 2 Professors, at least 2 Technical Managers and 3
Database Experts from list of 10 Professors, 8 Technical Managers
and 10 Database Experts?
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The 8 members team can be either of the following:
a. 3 professor, 2 technical managers and 3 database expert
Total ways of choosing this =10C3*8C2*10C3=120*28*120=403200
b. 2 professor, 3 technical managers and 3 database expert
Total ways of choosing this =10C2*8C3*10C3=45*56*120=302400
c. 2 professor, 2 technical managers and 4 database expert
Total ways of choosing this =10C2*8C2*10C4=45*28*210=264600
Total ways = 403200+302400+264600 = 970200
Total ways is 970200.
a. 3 professor, 2 technical managers and 3 database expert
Total ways of choosing this =10C3*8C2*10C3=120*28*120=403200
b. 2 professor, 3 technical managers and 3 database expert
Total ways of choosing this =10C2*8C3*10C3=45*56*120=302400
c. 2 professor, 2 technical managers and 4 database expert
Total ways of choosing this =10C2*8C2*10C4=45*28*210=264600
Total ways = 403200+302400+264600 = 970200
Total ways is 970200.
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