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A city council with six members must elect a three​-person executive committee consisting of a​ mayor, deputy​ mayor, nothingand treasurer. How many executive committees are​ possible?

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Answer:

The number of possible executive committees is calculated by multiplying the number of choices for each position:

For mayor: 6 choices

For deputy mayor: 5 choices (after mayor is chosen)

For treasurer: 4 choices (after mayor and deputy mayor are chosen)

Multiplying these together: 6 * 5 * 4 = 120

Therefore, there are 120 possible executive committees.

Step-by-step explanation: