a) Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair Facility currently has 25 failed keyboards, e of which have electrical defects and 19 of which have mechanical defects. i. How many ways are there to randomly select 5 of these keyboards for an inspection? ii. In how many ways can a sample of 5 keyboards be selected so that exactly 2 have electrical defects? iii. If a sample of 5 keyboards is randomly selected, what is the probability that at least I of these will have a mechanical defect? b} A witness to a hit-and-mn accident told police that the license number contained 3 letters, of which the rst and second were 11' and 'C', followed by 3 digits, of which the last digit was TV. If the witness cannot recall the remaining digits and letter, but is certain that all digits and letters are different, I'md the maximum number of automobile registrations that the police may have to check. c) How many different letter arrangements can be made from the letters in the words of RIVER MISSISSIPPI? {count the space too} d] Sis students are rtmning for the positions of presidem and vice-president, and ve students are mnning for cemetery and treasurer. If the two highest rote graders in each of the two contests are elected. how many winning combinations can there tie? e} How many different ways can a theatrical group select 2 musicals and 3 dramas from It musicals and E dramas to be presented during the year