# Tag Archives: binomial coefficient

## Bowling Pins

After rolling the first ball of a frame in a game of 10-pin bowling, how many different pin configurations can remain (assuming all configurations are physically possible)? Source: NCTM Mathematics Teacher, September 2006 Solution A pin configuration is made up … Continue reading

## 2502254

How many different seven-digit numbers can be produced by rearranging the digits of ? Source: mathcontest.olemiss.edu 10/1/2012 SOLUTION Let’s pick a random digit other than zero among to be the leading digit. For example, let’s pick . Even though the … Continue reading

## Going Around in Circles

If we pick any two distinct points on a circle, and connect them with a chord, the chord will divide the interior of the circle into two distinct, nonintersecting regions. If we pick three distinct points on a circle and … Continue reading