Question

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of wsilutawsiluta be​ arranged? identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Answer 1

The letters wsilutawsiluta have 87178291200 unique combinations. Which we can find via the factorial rule (14x13x12... ect). There are no 14 letter words in english that contain this combination of letters (we can narrow the search by looking for 14 letter words with two W's of which none contain the same combination of letters). Ergo we can conclude the correct unscrambling is more than one word. The letters unscramble to spell 'lawsuit' twice. this is the only correct unscrambling (unless we allow the archaic word williwau). Thus there is a 1 in 87178291200 possibility of randomly unscrambling the letters