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!
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Oh, dude, you're really testing my math skills here. So, if you have 5 toppings and you can choose any combination of them for your pizza, you would have 2^5 possible combinations. That's like 32 different ways to top your pizza, but who's counting, right? Just throw on whatever you like and enjoy your slice!
To calculate the number of combinations of pizza you can make out of 5 toppings, you would use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, you have 5 toppings (n=5) and you are choosing all possible combinations of toppings, so r=5. Plugging these values into the formula, you get 5! / 5!(5-5)! = 5! / 5!0! = 5! / 5! = 1. Therefore, you can make 1 combination of pizza using all 5 toppings.
Oh, what a happy little question! With 5 toppings on a pizza, you can create 2 to the power of 5 combinations, which equals 32 unique pizzas. Each combination is like a little brushstroke on a canvas, adding variety and flavor to your pizza palette. Just remember, there are no mistakes, only happy accidents in the world of pizza creation.
120
5 x 4 x 3 x 2 x1 = Toppings
20 x 6 x 1 = Toppings
120 x 1 = Toppings
120 = Topping Combinations
10
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
8 over 3, which is the same as (8 x 7 x 6) / (1 x 2 x 3).
13
Two . . . . . 38 and 83.