We whish to make a 3 digits number using without repetition o any single number the...
numbers are formed using all the digits 1, 2, 3, 4 ,5, 7, 8,9 without repetition. Determine the number of possible permutations in the following case. Show all steps in factorial form before final answers. 9 is before 1 but not necessarily adjacent to it. i.e, 912345678 or 234956178
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.
101 ned if repetition of the digit is not allowed? Problem #3: In a certain country, license plate numbers have 3 letters followed by 4 digits. How many different license plate numbers can be formed? (letters and digits may be repeated).
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)
Answer the following question using arrangements with repetition, permutations, or combinations. Be sure to explain why the particular counting technique applies to the problem. How many different eighteight-digitdigit passwords can be formed from the numbers zero to eightnumbers zero to eight if repetition is not allowed? Determine the appropriate counting technique. Choose the correct answer below. A. Permutations should be used because we make selections from a group of choices. B. Permutations should be used because no item may be...
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...
Selec 3 digits from 0,1,2,...,5 to make a number. Each digit can be used once and the number cannot start from 0. How many possible numbers are there which are greater than 240?
Consider the number 35964 How many 3 digit numbers can be formed using digits from 35964 if no digits may be repeated? What is the sum on all of those 3 digit numbers?
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
Consider the digits {2, 3, 4, 5, 6, 7}. If 4 digits are chosen randomly and without replacement to make a 4-digit number, how many ways can a number larger than 5400 be made?