if there is 3 crusts 3 cheeses and 7 toppings how many different combinations of 1 crust 3 different toppings and 1 cheese does the store offer
3C1 * 7C3 * 3C1 = 3*35*3
To determine the number of different combinations of 1 crust, 3 different toppings, and 1 cheese that the store offers, we can use the concept of combinations.
First, let's calculate the number of combinations for each component:
Number of combinations for 1 crust out of 3: We choose 1 out of 3, so this can be calculated as 3C1 = 3.
Number of combinations for 3 different toppings out of 7: We choose 3 out of 7, so this can be calculated as 7C3 = (7 * 6 * 5) / (3 * 2 * 1) = 35.
Number of combinations for 1 cheese out of 3: We choose 1 out of 3, so this can be calculated as 3C1 = 3.
Now, to find the total number of combinations, we multiply these individual combinations together:
Total number of combinations = (Number of crust combinations) * (Number of topping combinations) * (Number of cheese combinations)
Total number of combinations = 3 * 35 * 3 = 315.
Therefore, the store offers 315 different combinations of 1 crust, 3 different toppings, and 1 cheese.