Determine the sample space for the experiment. Three prize winners are selected from six people: A, B, C, D, E, and F.

The number of possibilites  = 6C3   = 20    ...and we have

{A,B,C}   {A,C,D}  {A,D,E}  {A,E,F}

{A,B,D}   {A,C,E}  {A,D,F}

{A,B,E}   {A,C,F}

{A,B,F}

{B,C,D}  {B,D,E}

{B,C,E}  {B,D,F}

{B,C,F}  {B,E,F}

{C,D,E}

{C,D,F}

{C,E,F}

{D,E,F}