List the outcomes comprising the specified event 26 Three bo

List the outcomes comprising the specified event. 26) Three board members for a nonprofit organization will be selected from a group of five people. The 26) board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty. Charlie, Dave, and Emily. The possible outcomes can be represented as follows. ABC ABD ABE ACD ACE ADE BCD BCE BDE CDE Here. for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on the board. List the outcomes that comprise the following event. A = event that fewer than two men are selected A) ABC, ABD, ACE. ADE, BCE. BDE C) ACD, BCD, CDE B) ABC, ABD, ABE, ACE. ADE, BCE, BDE D) ABC, ABD, ADE, BCE, BDE

Solution

A board of fewer than two men comprises either 0 or 1 men. These are ABC, ABD, ABE, ACE, ADE, BCE, BDE, or choice B. Choice A is wrong because it does not include the ABE, the possibility of no men at all.