1.51 If a coin is tossed, and 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 coin tosses occur. How many different scenarios are there in which point $P$ reaches coordinate +10?
［Solution］The last coin toss must be heads.
(1) Tossing 10 heads can reach +10, there is one way.
(2) Tossing 11 times, since the last one is heads, the first 10 tosses must include 1 tails, which has $C 1_{10}=10$ possible ways.
(3) Tossing 12 times, since the last one is heads, the first 11 tosses must include 2 tails, which has $C_{11}^{2}=55$ possible ways.
Therefore, there are a total of $1+10+55=66$ ways.