Lemma
MediumPermutations & combinations
GSM8K train #7357 · Combinatorics · Permutations & combinations

Denmark wants to order pizza

Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total?

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GSM8K — Grade School Math 8K (Cobbe et al., OpenAI, 2021) · train #7357

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