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MathNet 2013 Question 40

Math Olympiad Vault · MathNet 2013

Question 40

A hospital has the following employees:
- Sara Dores da Costa: rheumatologist
- Iná Lemos: pulmonologist
- Ester Elisa: nurse
- Ema Thomas: traumatologist
- Ana Lisa: psychoanalyst
- Inácio Filho: obstetrician

a) In how many ways can the employees form a line?
b) In how many ways can the same employees sit around a round table? Remember that if everyone moves to the chair on their left, the round-table arrangement is unchanged!
c) In how many ways can they form a committee with a president, vice-president and alternate?