Acme ID cards consist of 4 alpha characters with a subsequent 3 digits. How many cards can be made if repetitions are allowed? If repetitions are not allowed?
Acme ID cards consist of 4 alpha characters with a subsequent 3 digits. How many cards...
21. ID Cards How many different ID cards can be made if there are 6 digits on a card and no digit can be used more than once?
ID cards for a secret club consists of 3 letters followed by 2 digits. (ABC-10 for example) How many ID cards are possible if the first letter must be A and the last digit must be 0? (with No repetitions of letters, and No repetitions of digits)
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.
License plates: In a certain state, license plates consist of three digits from 0 to 9 followed by three letters. Assume the numbers and letters are chosen at random. Replicates are allowed. Part: 0/3 a. How many different license plates can be made? b. How many different license plates can be made in which no letter or number appears more than once? c. A license plate is chosen at ranpom. What is the probability that no letter or number appears...
Discrete Mathematics. Thank You!!
3. Using the digits 1, 2, 3 and 5, how many 4 digit numbers can be formed if a) The first digit must be 1 and repetition of the digits is allowed? (5 points) b) The first digit must be 1 and repetition of the digits is not allowed? (5 points)
License plates in a particular state are to consist of 4 digits followed by 2 uppercase letters. a) How many different license plates can there be in this state if repetition of letters and numbers is permitted? b) How many different license plates can there be in this state if repetition of letters and numbers is not permitted? c) How many different license plates can there be in this state if the first and second digits must be even, and...
How many different 3 digit numbers less than 500 can be made using the digits 3, 4, 5, and 6 if the digits can be used only once
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...
Using the FACTORIAL RULE, respond to the following questions. Each of these distinct questions is asking you to count the total number or combinations using this rule. How many ways can 7 paintings be lined up [Choose ] on a wall? How many 5-number license plates can be Choose ] made using the digits 0, 2, 4, 6, 8 if repetitions are NOT allowed? How many 4-digit numbers can be formed ifChoose each one uses all the digits 0, 1,...
A license plate consists of two letters followed by three single digits. (a) How many different license plates can be made? (b) How many different license plates can be made if no two-character U.S. state abbreviations are allowed for the two letters?