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in how ways can a committee consisting of 4 faculty members and 5 students be formed
if there are 6 faculty and 12 students eligible to serve on the committee
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You can select 4 faculty members of 6 by = = 15 ways.
You can select 5 students of 12 by = = 792 ways.
By combining it independently, you have 15*792 = 11880 options.
On Combinations in Combinatorics see the lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
in this site.