In how many ways can Six States be selected from the top 11 states with the most murders if the order of the Six States matter, round off your answers to the nearest whole number

Question

Mathematics

Marisol Buckley

27 January, 01:41

In how many ways can Six States be selected from the top 11 states with the most murders if the order of the Six States matter, round off your answers to the nearest whole number

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Answers (1)

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Ashanti Wu · Answer 1

The most intuitive way to imagine this is: For the first of the six states, you have 11 choices to get from. For the second, there are 10 left. For the third, 9 left ... and so on until you have 6 choices for the sixth and final state.

So this is just 11*10*9*8*7*6 = 332,640 ways

The formal way to write this would be in terms of permutations (where order matters) : 11P6 = 11! / (11-6) ! = 11!/5! = 332,640.