To find the number of ways to divide 6 teenagers into groups of 3, 2, and 1, we use combinations:

First, choose 3 people for the first boat: \(\binom{6}{3} = 20\).

Next, choose 2 people for the second boat from the remaining 3: \(\binom{3}{2} = 3\).

The last person automatically goes into the third boat: \(\binom{1}{1} = 1\).

Therefore, the total number of ways is:

\(20 \times 3 \times 1 = 60\).