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
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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
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