A discrete mathematics problem by Shenal Kotuwewatta

Peter created a cool problem to post on Brilliant, but he don't have a cool name for that.

So he decided wrote a simple program which outputs a string of 7 letters.

(The letters are from A-Z, and the same letter may be repeated.)

Call a name pronounceable if vowels and consonants appear alternatively in that name. The probability that the name of Peter's problem is pronounceable is \(\frac{p}{q}\) where \(p\) and \(q\) are coprime positive integers. What is the last \(3\) digits of \(p+q\)?

×

Problem Loading...

Note Loading...

Set Loading...