(a) How many strings of six hexadecimal digits do not have any repeated digits?11440640(b) How many strings of six hexadecimal digits have at least one repeated digit?5336576X(c) What is the probability that a randomly chosen string of six hexadecimal digits has at least one repeated digit? (Round your answer tothe nearest tenth of a percent.)31.9%Need Help?Read It

The objective of the question is to calculate the number of strings of six hexadecimal digits that do not have any repeated digits, the number of strings that have at least one repeated digit, and the probability that a randomly chosen string of six hexadecimal digits has at least one repeated digit.Hexadecimal digits include 16 possibilities (0-9 and A-F).For the first part of the question, we need to find the number of strings of six hexadecimal digits that do not have any repeated digits. This is a permutation problem, as the order of the digits matters and we are not allowed to repeat digits. The formula for permutations is P(n, r) = n! / (n-r)!, where n is the number of possibilities for each digit (16 in this case), r is the number of digits in the string (6 in this case), and '!' denotes factorial. Substituting the given values, we get P(16, 6) = 16! / (16-6)! = 11440640.For the second part of the question, we need to find the number of strings of six hexadecimal digits that have at least one repeated digit. This is the total number of possible strings minus the number of strings with no repeated digits. The total number of possible strings is 16^6 = 16777216. Subtracting the number of strings with no repeated digits, we get 16777216 - 11440640 = 5336576.For the third part of the question, we need to find the probability that a randomly chosen string of six hexadecimal digits has at least one repeated digit. This is the number of strings with at least one repeated digit divided by the total number of possible strings. Substituting the given values, we get 5336576 / 16777216 = 0.3186, or 31.9% when rounded to the nearest tenth of a percent.The number of strings of six hexadecimal digits that do not have any repeated digits is 11440640. The number of strings that have at least one repeated digit is 5336576. The probability that a randomly chosen string of six hexadecimal digits has at least one repeated digit is 31.9%.