1

Part of 2013 CHMMC (Fall)

Problems(2)

2013 Fall Team #1

Source:

In how many ways can you rearrange the letters of ‘Alejandro’ such that it contains one of the words ‘ned’ or ‘den’?

2013 CHMMC Tiebreaker 1 - finaly a geo tiebreaker

Source:

In the diagram below, point

A

lies on the circle centered at

O

AB

is tangent to circle

O

\overline{AB} = 6

C

\frac{2\pi}{3}

radians away from point

A

on the circle, with

BC

intersecting circle

O

D

. The length of

BD

3

. Compute the radius of the circle.
https://cdn.artofproblemsolving.com/attachments/7/8/baa528c776eb50455f31ae50a3ec28efc291e8.png