Discrete Mathematics. Thank You!! 3. Using the digits 1, 2, 3 and 5, how many 4...
How many 4-digit numbers can be formed using only the digits {1,2,3} if repetition is allowed and the number must contain the digit 3 somewhere. Hint: it may be easier to first count the numbers that don't contain the digit 3.
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.
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, and 7 if each digit can be used only once, how many are greater than 330
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...
A. To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the digits 1–9. How many 4-digit codes are possible if repetition of digits is permitted? B. If a club consists of 13 members, how many different arrangements of president, vice-president, and secretary are possible?
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
discrete math box answers
do a-d please
4. Hexadecimal numbers are made using the sixteen digits 0, 1, 2,3, 4, 5,6,7,8,9, A, B, C, D, E, F a) How many 5 digit hexadecimal numbers are there that do not start with the digit 07 b) How many 5 digit hexadecimal numbers that do not start with the digit 0 and do not end with the digit 0? c) How many 5 digit hexadecimal numbers start with a letter or end...
1. Daphne has 4 pants, 3 pairs of shoes & 5 Tops. In how many ways can she create an outfit ? 2. A four digit code is to be created using 2, a, b, 3, 4, c, d, 5 A. In how many ways can the code be created if the last digit is a number and the digits can repeat B. In how many ways can the code be created if the digits must alternate with numbers and...
PLEASE HELP WITH 2 AND 3!! THANK YOU:) 2. How many 4-digit numbers can be formed from the digits 2,3,4,5,6,7,8 if: i) Each digit may be used only once in each number? ii) Each digit may be used repeatedly in each number? 3. A bag contains five red balls numbered 1,2,3,4,5 and nine green balls numbered 6,7,8,9,10,11,12,13,14. If a ball is drawn at random what is the probability that: i) The ball is red and odd-numbered. ii) The ball is...