9. Answer the following questions (3 pts): a. How many strings of 5 hexadecimal digits do not have any repeated digits? b. How many strings of 5 hexadecimal digits have at least two repeated digits? c. What is the probability that a randomly chosen string of five hexadecimal digits has a least two repeated digit
9. Answer the following questions (3 pts): a. How many strings of 5 hexadecimal digits do not hav...
Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. (Please explain briefly) How many hexadecimal strings of length ten have at least three E’s? How many hexadecimal strings of length ten have exactly two A’s and at most two B’s? How many hexadecimal strings of length ten have six digits from the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and four digits from the set...
Problem 3.1 If each of the 10 digits 0-9 is chosen at random, how many ways can you choose the following numbers? (a) A two-digit code number, repeated digits permitted. (b) A three-digit identification card number, for which the first digit cannot be a 0. Repeated digits permitted. (c) A four-digit bicycle lock number, where no digit can be used twice (d) A five-digit zip code number, with the first digit not zero. Repeated digits permitted.
12. In certain state, license plates consist each of two letter follower by 3 digits. (a) How many different license plates are there? (b) How many different license plates are there that do not have any repeated letter or digit? 13. Use the binomial theorem and the Pascal triangle to expand (2x-) 12. In certain state, license plates consist each of two letter follower by 3 digits. (a) How many different license plates are there? (b) How many different license...
Question 1 (a) How many positive integers are there between 1000 and 4999, inclusive? (b) How many positive integers between 1000 and 4999, inclusive: 1. have no repeated digit? 2. have at least one repeated digit? 3. have at most two repeated digits? Note that by 'one repeated digit' we mean that there is a digit that appears at least twice (eg, 1123 has one repeated digit). Similarly, by two repeated digits we mean a digit that appears at least...
Problem 1. (20 pts) Convert the following number to hexadecimal a. (5 pts)) Convert 4.2 to binary form using six digits for the fractional part b. (5 pts) Convert the result you obtained in the previous item back to decimal, with at least five digits in the fractional part. What is the absolute error that you get when the result is compared to the original number. c. (5 pts) Convert directly, without using the result in item a 4.2 to...
A password or PIN consisting of a string of exactly five digits is randomly generated. How many such passwords have exactly one digit being repeated once ?
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}. (a) (1 pt) How many lock combinations are possible if each digit can be repeated? (b) (2 pts) If the digits in the combination cannot be repeated, then what is the probability of someone guessing the correct four-digit combination? 3 4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}....
Hexadecimal and binary numbers questions. Can someone do number #5 and 6 only? Thank you. 5. (2 pts) Write, in hexadecimal, the largest (unsigned) number that can be stored in 32 bits. 6. (2 pts) How many hexadecimal digits are required to write down a 2048-bit number? 7. (2 pts) How many hexadecimal digits are required to write down a 320-byte number? 8. (2 pts) How many bytes does it take to store a 128-bit number in a computer?
3. What is the probability a 9-digit Social Security number has repeated digits? Draw and use a Venn diagram to support your solution. Be sure to clearly identify your sets. 4. How many ways are there to deal a 6-card hand that contains at least one Queen, at least one King, and at least one Ace? Draw and use a Venn diagram to support your solution. Be sure to clearly identify your sets. 3. What is the probability a 9-digit...
15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can be formed from them: (a) If no digit may be repeated. (b) If repetitions of a digit are allowed. (c) If the number must be even, without any repeated digit. (d) If the number must be even.