Answer :
The Supreme Choice pizza at Pizza Paradise contains:
-) 3 different types of meat
-) 3 different vegetables
There are:
-) 5 types of crust (the customer can select one of them)
-) 6 types of meat
-) 9 vegetables
How many different Supreme choices Pizza can be made?
We can use the combinatory operator.
The customer can choose 3 different types of meat out of 6. The number of possible selections is:
For the crust, the customer can choose 1 of 5 possible types. Then, the number of different ways he can choose the crust is simply 5.
For the vegetables, there are 9 in total, and the customer can choose 3 different types. Again, using the combinatory operator, we have:
So we have 20 possible ways of choosing 3 types of meat, 5 possible ways of choosing 1 type of crust, and 84 different ways to choose 3 different vegetables.
For the total number of different Supreme choices Pizza a customer can make, we take the product:
20*5*84 = 8400
That is, there are 8400 different Supreme choices pizza.
