Ben needs to form a committee of 3 from a group of 8 engineers to study design improvements for a product. If two of the
engineers are too inexperienced to serve together on the committee, how many different committees can Ben form?
20
30
50
56
336
Form a committee of 3 from 8 - 8C3 = 56
Exclude groups that have 2 engineers together - If say 1,2 need to be excluded - (1,2,3), (1,2,4), (1,2,5), (1,2,6), (1,2,7), (1,2,8) - 6 - PART 2
56-6 = 50
Is there any formula for such problems, where you can compute part 2 with ease?
Since its a small group, its fairly easy to compute, but if its big, it gets difficult.
Anybody?
engineers are too inexperienced to serve together on the committee, how many different committees can Ben form?
20
30
50
56
336
Form a committee of 3 from 8 - 8C3 = 56
Exclude groups that have 2 engineers together - If say 1,2 need to be excluded - (1,2,3), (1,2,4), (1,2,5), (1,2,6), (1,2,7), (1,2,8) - 6 - PART 2
56-6 = 50
Is there any formula for such problems, where you can compute part 2 with ease?
Since its a small group, its fairly easy to compute, but if its big, it gets difficult.
Anybody?
