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 it once there's 2 outcomes 2^1 = 2 H or T

toss it twice there're 4 outcomes possible 2^2 = 4

HT, HH, TH, TT

toss it 3 times there are 8 possible outcomes 2^3 = 8

HHH

HHT

HTH

HTT

TTT

TTH

THT

THH

toss it 10 times there are 2^10 possible outcomes = 1024 outcomes possible