Here’s an interesting trivia.
If you wear different tie on the same shirt, most people will think that you’re wearing a different shirt. That’s an interesting way to multiply your options without really buying new cloths (except few new ties).
“That’s not a trivia, that’s a Jugaad.”, you might want to say. Anyways, That brings me to an equally interesting mindbender.
If you have 2 shirts (white, blue), 3 pants (black, gray and brown) and 3 different ties (pink, orange, red), in how many different ways can you get dressed? Assumption here is that getting dressed requires you to wear all three i.e. a shirt, a pant and a tie.
Using the multiplication principle we can say that there are total 2 x 3 x 3 = 18 ways to get dressed. Of course some of the dress combinations will look outright funny but our concern here is to find out all possible ways to get dressed. Moreover, today we are getting into Maths discipline and most mathematicians don’t really have whole lot of fashion sense anyways.
So that’s the simplest example of using the idea of combinations in real life. Now let’s say, for some strange reason, we were also considering the order in which you put on the cloths, i.e. it matters to us if one puts on the shirt first instead of tie.
Imagine wearing a tie first and then squeezing the shirt inside the tie, funny right? I told you mathematicians don’t care much about the dressing etiquettes 🙂
Okay, back to the same question again. In how many ways can you get dressed if the order of dressing matters?