Answer:
140 ways
Explanation:
"Choose 3 appetizers out of 4" can be written in equation as: C(4,3), and that is 4!/[3!(4-3)!]=4 ways.
For main dishes, C(10,9)= 10!/9!(10-9)!=10 ways.
And for desserts, C(9,5)= 9!/[5!(9-5)!]=126 ways.
So ways in total are 4+10+126=140 ways to pick the meals.