Heard this awesome puzzle yesterday while watching a video of Manjul Bhargava with my children (thanks to my wife Pooja to introduce me to this one). For those who do not know, Manjul Bhargava is a Princeton Professor who got the Field Medal in August last year, given for Mathematics once in 4 years. In his interview with NDTV, he asked this puzzle to children.
Assume that there are only two possible ways to hit the tabla – lets call them A and B. A requires one time unit and B requires 2 time units. You have a total of 8 time units and need to use A and B to fill these 8 time units. How many different ways are there.
As always, please send your answers directly to me at firstname.lastname@example.org. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.