A committee has seven members There are three members that currently serve as th

Question

A committee has seven members There are three members that currently serve as the board's chairman, vice chairman, and treasurer Each member is equally likely to serve in any of the positions Three members are randomly selected and assigned to be the new chairman vice chairman and treasurer What is the probability of randomly selecting the three members who currently hold the positions of chairman, vice chairman and treasurer and reassigning them to their current positions? The probability is. (Round to four decimal places as needed.)

Explanation / Answer

total number of ways to select and arrange them in position for 7 members =(7)3 =210

number of ways to arrange 3 current position holding to their same position =1

hence probability =1/210 =0.0048

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