shilpaqueen wrote:Anthony and Michael sit on the eight-member board of directors for company X. If the board is to be split up into 2 four-person subcommittees, what approximate percent of all the possible subcommittees that include Michael also include Anthony?
I think the answer to this should be 21 % but not sure ...am i correct?
This is how I arrived at it
Total number of possible 4 member committee = 70 ( 8C4)
Total number that have both Anita and Minu = 15
Thus percentage (15/70)X 100= 21.42% or 21 %
Careful! The question is asking:
Out of all the possible subcommittees that include Michael, what percent would also include Anthony?
First we need to determine the number of committees that could include Michael. Michael needs to be combined with 3 people from the remaining 7: 7C3 = 35.
If Michael and Anthony are both to serve on the committee, they need to be combined with 2 people from the remaining 6: 6C2 = 15.
P = 15/35 = 3/7 ≈ 40%.
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