Board of directors has 10 members. from the 10 members they will elect 5 officers. President, vice-pres, sec and treas
A) From the 10 board members how many combinations of officers are there?
B) If three board memebers are physicians, how many combinations have a physician as president?
C) Exactly 1 physician as an officer?
D) At least 1 physician as an officier?
The Attempt at a Solution
A) 10×9×8×7×6, 10!/5!
I just imagined plugging in people to the various office positions and used the simple M×N formula.