The number of ways which he can choose 5 courses if more than 3 must be humanities is; 8 ways.
Combination of outcomes
According to the question;
- He can choose 4 humanities courses and 8 science courses.
If the condition requires that he chooses more than 3 humanities courses, it follows that;
- He can only choose all four humanities courses and only 1 of all science courses.
On this note, the number of ways he can choose the required 5 courses is; 8 ways.
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