For each part below, set up the calculations, and then find the answer as aspecific number. You may give large numbers as approximations rather than as their exactvalue. Additionally, classify the size of each numeric answer according to the following:?”some”: numbers less than one hundred.?”large”: numbers greater than or equal to one hundred, but less than a million.?”colossal”: numbers greater than or equal to a million, but less than a billion.?”mammoth”: numbers greater than or equal to a billion, but less than a trillion.?”gargantuan”: numbers greater than or equal to a trillion.Suppose you are investigating a computer crime. You have partial information, butare working on establishing a communication timeline for the suspect. You know thesuspect sent out 12 email messages during the time period you are investigating. Eachemail message went to a single person (so no cc’ing, etc.). However, because the suspectand his associates used anonymity tools you do not know which email messages were sentto whom when. Answer the following questions. Remember to classify your answers asmentioned above.(a) Suppose the suspect had 20 known associates, and each email message went to one ofthese associates. How many ways are there to select 12 associates out of this group of 20if order matters and no associate received more than one email message?(b) How many ways are there in problem (a) if order does not matter and no associatereceived more than one email message?8.4. PROBLEM SOLUTIONS 147(c) How many ways are there in problem (a) if order matters, but associates might havereceived more than one of the 12 email messages? (For example, it’s possible all 12 wentto a single associate.)(d) Suppose that due to new evidence you limit the suspect’s list of associates to 15people. Now how many possibilities are there if order matters and each email messagewent to a different person?(e) Suppose you get still further new evidence: the first email went to associate X orassociate Y. The next 4 emails went to people from a group of 5 associates, but somepeople in this group might have received more than one email message. The last 7 emailswent to 7 distinct people from a group of 10 associates. Assume order matters. How manydifferent possibilities are there?Image transcription textCEE 346 – Geotechnical Engineering Page 2 2. For the soilconditions shown below, how deep could an excavation proceed(distance Y) before there is a danger that the hydros… Show more… Show moreImage transcription textThe depth of wetting of a soil is thedepth to which water content willincrease owing to external… Show more… Show moreImage transcription textYou are a part of the geotechnicalengineering team in a consultingcompany. You are assign… Show more… Show moreEngineering & TechnologyCivil Engineering
