If you flip a coin 9 times, you get a sequence of Heads (H) and tails (T). (a) How many different sequences of heads and tails are possible? (b)How many different sequences of heads and tails have exactly fiveheads? c) How many different sequences have at most 2 heads?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 35E
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If you flip a coin 9 times, you get a sequence of Heads (H) and tails (T).

(a) How many different sequences of heads and tails are possible?

(b)How many different sequences of heads and tails have exactly fiveheads?

c) How many different sequences have at most 2 heads?

 

 

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