There are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6-person committee. How many committees are possible containing at most 1 faculty member?
Here, we form a 6 persons committee, there are 5 faculty, 4
students, 3 office staff.
The committee can contain at most one faculty member.
So we can take only one faculty
or no faculty-
If we take one faculty member then-
For the remaining 5 places there are- 4 students, 3 office staff.
the remaining 5 places can be filled in- waysways.
If we take no faculty member then the 6 places can be filled in-waysways
No of possible committees: committees
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