# Number of possible outcomes.

• Oct 11th 2010, 05:33 AM
Iceflash234
Number of possible outcomes.
There are 8 different toppings that can be put on a pizza. How many ways can the pizza be made? One can have anywhere from no toppings to all 8 toppings.

Help is appreciated
• Oct 11th 2010, 11:47 AM
harish21
one way is to draw Pascal's triangle.

couldn't draw the fig...will attach one
• Oct 11th 2010, 01:14 PM
Iceflash234
Quote:

Originally Posted by harish21
one way is to draw Pascal's triangle.

couldn't draw the fig...will attach one

I didn't think of that. Thanks for the tip!
• Oct 11th 2010, 01:50 PM
harish21
Here's the attachment..

I did the first five rows of the triangle..your job is to complete all 10 rows..

the elements of row 10 will add up to the number of possible outcomes.
• Oct 11th 2010, 03:38 PM
coolhandluke
Quote:

Originally Posted by Iceflash234
There are 8 different toppings that can be put on a pizza. How many ways can the pizza be made? One can have anywhere from no toppings to all 8 toppings.

Help is appreciated

1 + 8 + 8*7 + 8*7*6 + 8*7*6*5 + ... + 8*7*6*5*4*3*2*1