Anthony and David sit on the 6-member board of directors for company L. If the board is to be split up into two 3-person subcommittees, what is the percentage that David and Anthony are included in the same sub-committee?
Answer:
40%
- David will be on one of the two committees for sure which will leave 2 seats on that 3-member sub-committee.
- Now for David and Anthony to be included in the same sub-committee, Anthony has to fill one of those 2 seats of the sub-committee in which David is included.
- Therefore the likelihood that Anthony gets one of the remaining 2 seats =
=Number of vacant seats in the sub-committee that includes David Total number of seats remaining 2 5 - The percentage of all the possible subcommittees that include both David and Anthony =
× 100 = 40%2 5