A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee? (One person will be president, another vice president,

A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee? (One person will be president, another vice president,

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A committee consists of five executives, three women and two men. Their names are Maria (M),John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. Itdecides to make the selection randomly by drawing straws. The person getting the longest straw will beappointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possibleoutcomes can be represented in the following manner.MS SM HM JM WM MH SH HS JS WSMJ SJ HJ JH WH MW SW HW JW WJHere, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed assecretary.(a) List the outcomes constitution each of the following four eventsA = Event a male is appointed chairpersonB = Event Holly is appointed chairpersonC = Event Will is appointed secretaryD = Event only females are appointed(b) Calculate P(not A)(c) Calculate P(B and D)(d) Calculate P(B or C) (maria,susan and holly are female/women and john and will are male)
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