3. A bit string is a finite sequence of 0’s and 1’s. For this problem, you may leave your answers unreduced. (a) How many bit strings of length 15 contain exactly six zeros? (b) How many bit strings of length 9 consists of at least four ones

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 15E
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3. A bit string is a finite sequence of 0’s and 1’s. For this problem, you may leave your answers unreduced.

(a) How many bit strings of length 15 contain exactly six zeros?

(b) How many bit strings of length 9 consists of at least four ones?

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