15. Given the digits 1, 2, 3, 4, and 5, find how many 4-digit numbers can...
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.
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?
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
Given the digits 5, 4, 2, 0, 3, 7, 9, 6, 8. How many three-digit number codes can be formed if the hundreds place must be even and the ones place is at least 5? No repition
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)
please I wanted answered step by step 9) How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? A) 256 four-digit numbers B) 8999 four-digit numbers C) 10,000 four-digit numbers D) 9000 four-digit numbers 10) If $4100 earned simple interest of $233.02 in 11 months what was the simple interest rate? A) 7.2% B) 6.2% C) 8.2% D) 5.2% 11) How long will it...
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...
How many different 4-digit numbers can be made from the set of 8 numbers {1, 2, 3, 4, 5, 6, 7, 8} if: The resulting number must be an odd number and repeats are NOT allowed.
1. A) How many three-digit numbers are there for which the sum of the digits is at least 25? B) How many three-digit numbers can be formed if only odd numbers are allowed to be re-used Please combinatorics principles where applicable.