How many strings of four decimal digits (Note there are 10 possible digits and a string can be of the form 0014 etc
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
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
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?
1.How many possible orderings of letters ABCDEFG are there? 2.How many strings of length 4 can be made using the letters ABCDEFG? 3.How many subsets of size 4 are there of the letters ABCDEFG. 4.How many possible strings are there of the letters "MATTER"? 5.Consider four books: an engineering book (E), a physics book (P), a history book (H), and an Art book (A). Consider the following problem: Suppose that the library has at least six copies of each of...
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.
an urn contains 12 red How many positive integers between 100 and 500 inclusive, a. are divisible by 7? b. are odd? c. have the same three decimal digits? (e.g. 333) d. have distinct digits? (e.g. 123, 234, etc.) How many bit strings of length 8 contain a. exactly three 1s? b. at most three 1s? c. at least three 1s? d. an equal number of Os and 1s?
How many 15-digits passwords are possible if : Explain work a) the digits can repeat. b) the digits cannot repeat
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.
Let n be an even number. How many ternary strings (i.e. strings over the alphabet 10, 1,2]) of length n are there in which the only places that zeroes can appear are in the odd-numbered positions?
Consider all bit strings of length 12. How many have exactly four 1's?