a) Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 6 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 1 of these will have a mechanical defect? h} A witness to a hit-and-run 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 '0'. If the witness cannot recall the remaining digits and letter, but is certain that all digits and letters are different, nd the maximum number of automobile registrations that the police may have to check. c} How many different letter arrangements can he made from the letters in the words of RIVER MISSISSIPPI? (count the space too) d} Six students are running for the positions of president and vice-president, and ve students are running for secretary and treasurer. If the two highest vote getters in each of the two contests are elected, how many winning combinations can there be? c) How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas to be presented during the year