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4. [4/4 Points] DETAILS MY NOTES EPPDISCMATH5 9.2.011.
(a) A bit string is a finite sequence of 0's and 1's. How many bit strings have length 9?
512 bit strings
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(b) How many bit strings of length 9 begin with four 0's?
If a bit string of length 9 begins with four 0's, then 9-4 positions remain to be filled in. Since each of these positions can be filled with either a 0 or a 1, the number of bit string of length 9 that
begin with four 0's is 32
(c) How many bit strings of length 9 begin and end with a 1?
128 bit strings
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5. [8/8 Points] DETAILS MY NOTES EPPDISCMATH5 9.2.015.EP.
Suppose a certain combination lock requires three selections of numbers, each from 1 through 20.
(a) How many choices are there for the first number in the combination?
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4/3/2024