A couple of weeks ago, I went on vacation with my parents and sister. My sister and I had never been to Colorado, and my parents hadn't been since they were kids. So, Colorado it was. We ended up making a giant circle. Oklahoma to Kansas to Colorado to New Mexico to Texas and back to Oklahoma.
On the last day of our trip, we stopped at Denny's for dinner. While waiting for our food to be prepared, I decided to glance at the extra menus that were at our booth. That's when I discovered something exciting. A math problem!
There are more than 80 ways to build your own Sundae.
Of course, I had to check out their claim. So, what are the choices for building your own Sundae?
Pick Two Scoops of Premium Ice Cream. There are three difference ice creams to choose from. I count six different ways of choosing my ice cream. VV, VC, VS, CS, CC, SS.
Pick A Topping. There are three different toppings to choose from.
Pick A Crunch. There are three different crunches to pick from.
So, by my math, there are 6 * 3 * 3 ways to build a sundae. This multiplication yields on 54 ways to build a sundae.
Am I missing something? Did I make a mistake somewhere? Or do they really not know how many sundae possibilities there are?
The picture on the menu page showed whipped cream on top of the sundae. This isn't listed on the options. Adding the possibility of whipped cream or no whipped cream would change my number of possible sundaes to 54*2 or 108. That is more than 80, but I'm not satisfied by that.