Question

Q1. COUNTING Suppose we have a specially-adapted typewriter for monkeys to use that has only 15 keys: 囚回回回固因国MA]回回回国叼团 Important! All of your solutions must be clearly justified with explanations, and you must write each of your final answers in two ways: 1. as a formula involving only products, sums, differences, or powers 2. as one final concrete number (where you might need to make use of a calculator") *Warning No calculators on the Beal exam. You will be expected to fully evaluate some expreions on the final exam without a calculator, but mothlng involving "unreasonably time-consuming calculations" (asouming students know the besic formulas for actorials, permutations, and commbinations) Some questions on the final exam will expmesly state that you can leave your answer as expensalon involving unevaluated products, sm-factorisker powers, et Othm will repun tay nala i o one 4 points) Using the monkey typewriter, how many 13-letter words are there consisting of 13 distinct letters that begin with 'ABC' or end with 'MONKEY ? (this is an inclusive or) letters may not be repeated)

Answer 1

Casetェう?stent with ABC A@c ,3 ,1 loa, 요 그 쇼工13 239 soo 600 + '81 4 Yo = 239,692,240 ene INCAK(2)cmd Corp) a# lved.les in beth cage pleng ies in beth Cose Se that 1839 662 34o -1)