A certain company employs 7 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 the correct answer.
A) 8  B) 24  C) 58  D) 140  E) 210
Number of ways to select 3 senior officers from 7 of them = 7C3 = 35 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 35 x 4 = 140 ways.   Answer: 140
<result>D</result>
A certain company employs 7 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?