The polygons are similar. Find the value of x.
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Number of possible outcome for tossing N coins =
Solution:
Possible outcomes when tossing one coin = {H, T}
Number of possible outcomes when tossing one coin = 2
Possible outcomes when tossing two coins = {HH, HT, TH, TT}
Number of possible outcomes when tossing two coins = 4
Possible outcomes when tossing three coins
= {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Number of possible outcomes when tossing three coins = 8
Therefore, the sequence obtained is .
If continue this sequence, we can obtain number of possible outcome for tossing N coins is .