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Answer:
840
Explanation:
There are [tex]{5 \choose 3} = 10[/tex] ways to pick the 3 meats, [tex]{7 \choose 5} = 21[/tex] ways to pick the 5 vegetables, and 4 ways to pick the crust.
Therefore, there are 10*21*4 = 840 different pizzas that can be made.