How many have exactly 4 1's and 6 0's in a 10 bit string?
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Let A be the set of all bit strings of length 10. 1. How many bit strings of length 10 are there? How many bit strings of length 10 begin with 1101? How many bit strings of length 10 have exactly six 0's? How many bit strings of length 10 have equal numbers of O's and 1's? How many bit strings of length 10 have more O's than 1's? a. b. c. d. e.
Consider all bit strings of length 12. How many have exactly four 1's?
8. Let S = classes? 1, 2, 3, 4, 5, 6, 7, 8). How many equivalence relations on S have exactly 3 equivalence 8. Let S = classes? 1, 2, 3, 4, 5, 6, 7, 8). How many equivalence relations on S have exactly 3 equivalence
consider all bit strings of length 12 How many have 8 0s and 4 1s that have exactly 3 consecutive 1s (allow 4 consecutive 1s)? A 90 В 72 С 45 D 36 E 9 consider all bit strings of length 12 How many have 8 0s and 4 1s that have exactly 3 consecutive 1s (allow 4 consecutive 1s)? A 90 В 72 С 45 D 36 E 9
Your friend thinks of an n-bit string (some sequence of 0's and 1's such as 01011 for n 5) that we will refer to as code. Your goal is to identify the code by asking your friend questions. Each question will provide your friend with an n-bit string of your choice, and your friend will tell you how many bits in your string coincide with the corresponding bits in the code. For example, if the code is 01011 and your...
5. (8 pts) An n-bit string is a string of n digits consisting of only O's and 1's. a. How many 16-bit strings contain exactly seven 1's? b. How many 16-bit strings contain at least thirteen 1's? How many 16-bit strings contain at least one 1? d. How many 16-bit strings contain at most one 1? C.
Problem 3 (Counting binary strings) 20 marks/ Consider all bit strings of length 15. 1. How many begin with 00? 2. How many begin with 00 and end with 11? 3. How many begin with 00 or end with 10? 4. How many have exactly ten 1's? 5. How many have exactly ten 1's such as none of these 1's are adjacent to each other? Provide detailed justifications for your answers. Problem 3 (Counting binary strings) 20 marks/ Consider all...
how many integers from 0 through 999,999 contain the digit 4 exactly twice? how many integers from 1 through 1000000 contain the digits 6 at least once
A coin is tossed 10 times. a) How many different outcomes have exactly 6 heads? b) What is the probablility that we toss 6 heads? c) What is the probability that we toss at most 6 heads?
Multiple Choice How many strings of length 12 over the alphabet {a,b,c} have exactly three a's or have exactly three b's or have exactly three c's? (1?).22-3-(3) °(12):22-3-(?) (3) ° (13)-3-(1) QUESTION 20 Multiple Choice How many binary strings of length 12 have exactly six 1's or begin with a 0? ° (62) +211 -(0 ° (12) +201 - 1 ° (6) +211 -(5) ° (12) + 211