Answers

2016-04-28T21:28:38+05:30
The 8 members team can be either of the following

a) 3 professors, 2 technical managers, and 3 database experts.

Total ways of choosing this

= 10C3 × 8C2 × 10C3

= 120 × 28 ×120

=403200//

b) 2 Professors, 3 technical managers, and 3 database experts.

Total ways of choosing this

= 10C2 × 8C3 × 10C3

=45 × 56 × 120

=302400//

c) 2 Professors, 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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