01. Suppose we have a specially-adapted typewriter for monkeys to use that has o

Question

01. Suppose we have a specially-adapted typewriter for monkeys to use that has only 8 keys, one for each of the letters A, B, C, D and W, X, Y, Z. Important! All of your solutions must be clearly justified with explanations (1 pt) a. How many 4-letter "words" can be made using this typewriter? (we consider a 4-letter "word" any ordered string made of 4 (not necessarily distinct) symbols from the type- writer). (2 pts) bi How many 4-letter words are there consisting of 4 distinct letters, one of which is the letter 'A' ? (this time, letters may not be repeutod) (2 pts) bl Using the monkey typewriter, how many 5-letter words can be made that begin with ABC' and end with "Z' ? (letters may be repeated

Explanation / Answer

Question 1. a) from above letters we can create 8^8 words where 8 is number of letter. b) from above letters we can create 2^8 differnt words where all char are unique c) 2^4 words because there are 3 words which can differnet and rest of them we can assume to 1. d) According to given condition we have 3 char which is one of 4 char group and second is 3 char group and last single one So there are 2^3 words in this case Note : ^ represent power If you need any more explaination comment me.I will.

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