Problem 05 If a number cannot be IMMEDIATELY repeated, how many different three number combinations are...
The dial on a combination lock shows the integers 0 through 39. Turning the dial to three specific numbers (in order) opens the lock. a) How many different locks can a manufacturer produce before they have to reuse combinations, if numbers cannot be repeated in a combination (i.e., 25-17-25 is not allowed)? How many different locks can a manufacturer produce before they have to reuse the combination if numbers can be repeated in a combination?
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}. (a) (1 pt) How many lock combinations are possible if each digit can be repeated? (b) (2 pts) If the digits in the combination cannot be repeated, then what is the probability of someone guessing the correct four-digit combination? 3 4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}....
A locker combination is made up of three numbers from 0 to 99. How many different locker combinations can there be?
Problem 3.1 If each of the 10 digits 0-9 is chosen at random, how many ways can you choose the following numbers? (a) A two-digit code number, repeated digits permitted. (b) A three-digit identification card number, for which the first digit cannot be a 0. Repeated digits permitted. (c) A four-digit bicycle lock number, where no digit can be used twice (d) A five-digit zip code number, with the first digit not zero. Repeated digits permitted.
To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. Finally, you turn the dial back to the right and stop at a third number. If you used the correct sequence of numbers, the lock opens. If the dial of the lock contains 12 numbers, 0 through 11, determine the number of different combinations possible for the lock. Note: The...
14. A combination lock uses three numbers between 1 and 91 with repetition, and they must be selected in the correct sequence. Which of the five counting rules is used to find that number? How many different"combinations" are possible? Is the name of "combination lock" appropriate? If not, what other name would be better? Which of the five counting rules is used to find that number? A. Permutations rule (when all of the items are different) B.Combinations rule C.Factorial rule...
A combination lock uses 4 numbers, each of which can be 0 to 37. If there are no restrictions on the numbers, how many possible combinations are available?
Fun Principles of Counting 3. I have a briefcase with a four-number combination. I remmber one of the numbers, but I dont know which position it occupied. How many combinations, at most, will I need to try? 3. I have a briefcase with a four-number combination. I remmber one of the numbers, but I dont know which position it occupied. How many combinations, at most, will I need to try?
8. How many ways can the numbers 1,2,...,8 be arranged such that no i is followed immediately by i +1? 8. How many ways can the numbers 1,2,...,8 be arranged such that no i is followed immediately by i +1?
Please do question 19 and 27. Please show all work 19) A) How many different area code 909 telephone numbers are possible? Assume that the first digit of any phone number cannot be 0 or 1. ) B) Suppose a computer requires eight characters for a password. The first three characters must be letters and the remaining five characters must be numbers. How many passwords are possible? 27) In how many ways can 8 people be arranged for a photograph...