
you can only use the digits {3,4,5,6,7,8,9} Q: how many ways can you get a 4...
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
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.
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.
If we create a 4 digit pin number using only the digits {0,1,2,3,4}, how many unique 4 digit pin numbers can we make?
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...
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?
you roll a fair die 4 times how many ways can you get at least one 3? how many ways can you get at most two 3's?
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
1. Suppose a license plate number in this state can only contain capital letters and digits and can only be any string of the form: Letter-Letter-Letter-Digit-Digit-Digit-Digit How many license plate numbers are possible if no digit appears more than once?
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.