Question
how many pizza choices can you get with 3 crusts,7 toppings and 3 cheeses
Answers
Ms. Sue
3 * 7 * 3 = ?
That assumes only one topping and one cheese for each crust.
That assumes only one topping and one cheese for each crust.
you can get 3 toppings with 1 cheese and 1 crust
will it be set up like 3 x 21 x 3 =189
Ms. Sue
Right.
thank you,Ms.Sue
Ms. Sue
You're welcome, Mark.
I disagree with marks answer
The crust can be chosen in C(3,1) ways or 3 ways
the cheese can be chosen in C(3,1) or 3 ways if you want only one cheese
But the 3 toppings can be chosen in C(7,3) or 35 ways
So the number of possible pizzas with 3 toppings and 1 cheese with 3 different crusts
= 3x35x3 = 315 ways
The crust can be chosen in C(3,1) ways or 3 ways
the cheese can be chosen in C(3,1) or 3 ways if you want only one cheese
But the 3 toppings can be chosen in C(7,3) or 35 ways
So the number of possible pizzas with 3 toppings and 1 cheese with 3 different crusts
= 3x35x3 = 315 ways
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