Question

If a fair coin is tossed 11 times, in how many different ways can the sequence of heads and tails appear?

Answer 1

Answer:

2048

Step-by-step explanation:

Here’s an example for 2 flips: HH - HT - TT - TH. (That’s 2*2, or 2^2)

Here’s 3 flips: HHH - HHT - HTH - HTT - THH - THT - TTH - TTT. (That’s 2*2*2, or 2^3).

For 11 flips, it’s 2^11… which is 2048