Question 1118366
<br>
4 of the 5 seniors: "5 choose 4" = C(5,4) = 5<br>
AND<br>
2 of the 5 juniors: "5 choose 2" = C(5,2) = 10<br>
AND<br>
8 of the 10 freshmen and sophomores: "10 choose 8" = C(10,8) = 45<br>
Multiply the number of different ways to make the different selections to find the total number of ways:<br>
5*10*45 = 2250