SOLUTION: A college club consists of: 6 freshmen 10 sophomores 8 juniors 7 seniors The club needs to select an executive board consisting of a president, a vice president, a treasurer

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Question 1153806: A college club consists of:
6 freshmen
10 sophomores
8 juniors
7 seniors
The club needs to select an executive board consisting of a president, a vice president, a treasurer, and a secretary.
The president is required to be a senior.
The vice president is required to be a junior.
The treasurer can be either a freshman or a sophomore.
The secretary can be either a freshman or a sophomore.
Under these restrictions, how many distinct executive boards are possible?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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Any of 7 seniors for the President position.


Any of 8 juniors for the vise president position.


Any of 6+10 = 16 freshmen or sophomores for the treasure position.


And any of 15 remaining freshmen or sophomores for the secretary position.


Finally, there are  7*8*16*15 = 13440 different selections (configurations).       ANSWER

Solved.