How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a 1?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 12E
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How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a 1?

 

Expert Solution
Step 1

Here we will use the concept of combination and the formula for combination is given by

C(n,r) = n!/r!(n-r)!

There are 10 position and choose two position for the 1s that is there are 10 slots to fill and 2 of them must hold 1s

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