How many strings of five decimal digits if Have exactly four digits that are 5s?
there is only one digit which is different than 5 which can take any of the 5 positions
This one number can be selected from 0 to 9 except 5, this can be done in 9 ways
Hence number of strings = 5*9 = 45
How many strings of five decimal digits if Have exactly four digits that are 5s?
How many strings of four decimal digits (Note there are 10 possible digits and a string can be of the form 0014 etc., i.e., can start with zeros.) (a) have exactly three digits which are 9s?
How many strings of 10 decimal digits are there that contain the following combinations of numbers? Show your work. You may leave your answer in terms of an expression involving factorials/exponents. One 0, four 2’s, and five 8’s Exactly one 1, two 3’s, and one 7 (the other six digits can be anything
Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. (b) have distinct digits. (c) are not divisible by either 5 or 7.
How many bit strings of length 10 have... (a) Exactly four 1s in a row? (b) at least eight 0s in a row?
Consider all bit strings of length 12. How many have exactly four 1's?
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
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 ?
Exercise 8.12.20: Counting binary strings. (a) How many binary strings of length 12 do not have exactly four 1's? (b) How many binary strings of length 12 start with 101 or 1110? (e) How many binary strings of length 12 start with 00 or end with 00 or both?
How many five digit numbers contain no repeated digits, have no even digits, and the sum of their digits is 25?
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