If a fair coin is tossed 11 times, in how many different ways can the sequence of heads and tails appear? The sequence of heads and tails can appear \( \square \) different ways. (Type a whole number.)

When a fair coin is tossed, each flip results in either a head (H) or a tail (T), giving us 2 possible outcomes per flip. When we toss a coin 11 times, the total number of different sequences can be calculated using the formula \( 2^n \), where \( n \) is the number of flips. Thus, for 11 tosses, we have \( 2^{11} = 2048 \) different ways for the sequence of heads and tails to appear. So, the sequence of heads and tails can appear 2048 different ways.