SOLUTION: Seven managers and eight sales representatives volunteer to attend a trade show. Their company can only afford to send five people. In how many ways could they be selected:
a) wit
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Question 1004398: Seven managers and eight sales representatives volunteer to attend a trade show. Their company can only afford to send five people. In how many ways could they be selected:
a) without any restrictions?
15C5 = 3003 ways
B) if there must be at least one manager and one sales representative chosen?
tried doing 7C1 = 7 + 8C1 = 8 + 13C3 = 286 but not the right answer
**answer should be 2926
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Seven managers and eight sales representatives volunteer to attend a trade show. Their company can only afford to send five people. In how many ways could they be selected:
a) without any restrictions?
15C5 = 3003 ways
Correct
--------------------------------
B) if there must be AT LEAST one manager and AT LEAST one sales representative chosen?
7C1*8C4 + 7C2*8C3 + 7C3*8C2 + 7C4*8C1 = 2926 ways
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Cheers,
Stan H.
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