Counting Methods

Question

If you toss a coin 10 times and list the results (heads or tails) in order, how many different orders are possible?

??(Do not use commas.)

Answer 1

toss a coin 2 times, 2²=4 results, HH,HT,TH,TT

toss a coin 3 times, 2³=8 results

HHH, HHT, HTH, HTT, THH, THT, TTT, TTH

toss a coin 10 times, 2¹⁰=1024 results