3. Toss a coin, if it lands heads, point $P$ moves +1 on the number line, if it lands tails, it does not move. The coin is tossed no more than 12 times, and if point $P$ reaches coordinate +10, no more tossing occurs. Then the total number of different ways for point $P$ to reach coordinate +10 is .
3. 66.

Obviously, the last coin toss must be heads.
(i) To get 10 points with 10 heads, there is 1 way.
(ii) For 11 tosses, since the last one is heads, the first 10 must include 1 tails, which has $C_{10}^{1}=10$ ways.
(iii) For 12 tosses, since the last one is heads, the first 11 must include 2 tails, which has $C_{10}^{2}=55$ ways.
In total, there are $1+10+55=66$ ways.