document.write( "Question 360492: A pizzeria offers thin-crust and deep-dish pizzas in 9-, 12-, and 14-inch sizes, with 15 possible toppings. How many different types of pizzas can be ordered? \n" ); document.write( "

Algebra.Com's Answer #257211 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi,
\n" );
document.write( "2 types of crust, 3 sizes, 15 possible toppings
\n" );
document.write( "How many different types of pizzas can be ordered?
\n" );
document.write( "With one topping per pizza:
\n" );
document.write( "2*3*15 = 90 different types can be ordered\r
\n" );
document.write( "\n" );
document.write( "With from 0 to 15 toppings per pizza (combinations with no toppings = 6)
\n" );
document.write( "6 + 6(15C1 + 15C2 + 153 + 15C4 + 15C5 + 15C6 + 15C7 + 15C8 + 15C9 + 15C10
\n" );
document.write( "+ 15C11 + 15C12 +15C13 + 15C14 + 15C15)= 196,608 types can be ordered. \n" );
document.write( "

\n" );