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As ISCREAM wrote to Dr. Math
On 01/28/2007 at 17:44:19 (Eastern Time),
>[Question]
>WE SELL 7 DIFFERENT FLAVOURS OF ICE CREAM
>INTO THIS WE CAN ADD 30 DIFFERENT TREATS \ FRUITS
>A CUSTOMER CAN CHOOSE 1 OR 2 ICE CREAM FLAVOURS AND 1 0R 2
DIFFERENT TREATS
>
>HOW MANY combinations are possible ??

>[Answer]

     Flavours     Treats          Combinations
    ----------------------      ----------------
         1           1           C(7,1) x C(30,1)  =   210
         1           2           C(7,1) x C(30,2)  =  3045
         2           1           C(7,2) x C(30,1)  =   630
         2           2           C(7,2) x C(30,2)  =  9135
                                                  -----------
                                             Total = 13020

- Doctor Anthony, The Math Forum
 <
http://mathforum.org/dr.math/>

The Math Forum @ Drexel is a research and educational enterprise
of the Drexel School of Education: <
http://www.drexel.edu/soe/

ITS VERY SIMPLE. WE SENT AN EMAIL TO Dr. MATH OUTLINING WHAT WE CURRENTLY OFFER, IT READ AS FOLLOWS :

WE SELL 7 DIFFERENT FLAVOURS OF ICE CREAM, INTO THIS WE CAN ADD 30 DIFFERENT TREATS / FRUITS. A CUSTOMER CAN CHOOSE 1 OR 2 ICE CREAM FLAVOURS AND 1 OR 2 DIFFERENT TREATS.

HOW MANY COMBINATIONS ARE POSSIBLE ???

TO THE LEFT IS A COPY OF THE EMAIL WE RECEVIED A FEW DAYS LATER.

ANSWER 

13,020 ...WOW 

THAT’S A DIFFERENT COMBINATION EVERY DAY FOR OVER 35 YEARS

OR FOR THE HEALTH CONSCIOUS, ONE PER WEEK FOR OVER 250 YEARS