A team of 11 students is to be formed from a group of 18 students - HSC - SSCE Mathematics Extension 1 - Question 8 - 2016 - Paper 1

The number of right-handed students is 18 - 3 = 15. To find the number of teams consisting of only right-handed students, we again use the combination formula:

$C(15, 11) = \frac{15!}{11! \cdot (15 - 11)!} = \frac{15!}{11! \cdot 4!}$

Calculating this gives:

$C(15, 11) = 1365$

To find the number of teams containing at least 1 left-handed student, we subtract the number of teams with no left-handed students from the total number of teams:

Number of teams with at least 1 left-handed student = Total ways - No left-handed = 31824 - 1365 = 30459.

Thus, the final answer is 30,459.