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## Homework Statement

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?

## Homework Equations

m[/B]M×N

## The Attempt at a Solution

A) 10×9×8×7×6, 10!/5!

B) 3x9x8x7x6

C) 3×7×6×5×4

D) 3×9×8×7×6

I just imagined plugging in people to the various office positions and used the simple M×N formula.