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How many different kinds of pizzas can you make out of 5 toppings?
If you must use all 5 with no repetition, you can make only one pizza. 5C5, the last entry on the 5 row of Pascal's triangle. If you can choose as many toppings as you want, all the way down to none (cheese pizza), then you have 5C0 + 5C1 + 5C2 + 5C3 + 5C4 + 5C5 = 32. Another way to think about it is no toppings would allow one pizza (cheese), one topping would allow two pizzas (cheese, pepperoni), two toppings would allow four pizzas, three toppings would allow eight pizzas, four toppings would allow sixteen, creating an exponential pattern. p = 2 ^ t. So, 10 toppings would permit 1024 different combinations
If there are 5 different pizza toppings and you choose 2 how many combinations will you have?
10
How many combinations of pizza can you make out of 5 toppings?
Well, honey, if you've got 5 toppings to choose from, you can make a total of 31 different combinations on your pizza. It's simple math - you take 2 to the power of 5 (2^5), which equals 32, then subtract 1 because you can't have a pizza with no toppings (unless you're a monster). So, go wild and mix and match those toppings to create your perfect pizza masterpiece!
How many ways can you select 3 different toppings for a pizza with 8 toppings to choose from?
8 over 3, which is the same as (8 x 7 x 6) / (1 x 2 x 3).
How many different five digit numbers can you make using 1 2 3 4 5?
120
