Question 1148275
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(1) business: 1 of 6  -->  "6 choose 1" = 6C1
(2) mathematics: 1 of 2  -->  "2 choose 1" = 2C1
(3) electives: 2 of 7  -->  "7 choose 2" = 7C2
(4) other: 1 of 3 OR 1 of 2  -->  "3 choose 1 plus 2 choose 1" = 3C1+2C1
Note this is equivalent to "5 choose 1" = 5C1<br>
The total number of sets of courses is the product of all those numbers of choices.<br>
{{{C(6,1)*C(2,1)*C(7,2)*C(5,1)}}}<br>