A certain company employs 8 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?
Choose one.
A) 8  B) 24  C) 58  D) 224  E) 210
Number of ways to select 3 senior officers from 8 of them = 8C3 = 56 ways   Next we can determine the number of ways to select 1 junior officer.   number of ways to select 1 junior officer from 4 of them = 4C1 = 4 ways   Thus the number of ways to select 3 senior officers and 1 junior officer is 56 x 4 = 224 ways.   Answer: 224
<result>D</result>
A certain company employs 8 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?