**Solution:
**

A chord can be drawn by joining any two points on a circle. Therefore, the number of chords that can be drawn out of 21 points is ^{21}C_{2}, which is given by

^{21}C_{2} = 21! / 2!19! = 21*20*19! / 2*19! = 210

**Thus, the number of chords is 210.**