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Q: How many different orders can 5 people line up in a row?
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If there were twenty one people in a line how many different combinations are there in the order of the line?

420


How many ways can you arrange or line up 3 different items and how many ways can you arrange 6 items?

3 items (or people) can line up in 6 different sequences. 6 items (or people) can line up in 720 different sequences.


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Example of permutation?

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How many different ways can five people line up to buy movie tickets?

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How many different ways can four people stand in one line?

If the people are always facing forward? 24 ways.


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How many ways can 6 people stand in line?

There are n! (n factorial) ways that n people can stand in line. So six people can stand in line in: 1*2*3*4*5*6 = 720 different ways


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