In how many ways can a teacher arrange 4 students in the front row of a class room with a total of 30 students

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In how many ways can a teacher arrange 4 students in the front row of a class room with a total of 30 students

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1436820396478:dw|
for the first seat there are a total of 30 choices from picking any possible student
and for each student that is picked in that seat, there is another 29 choices following that picked student for the next seat

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|dw:1436820519859:dw|
this is best illustrated with tree diagram for smaller examples to understand why this way of multiplication works
consider, 5 kids and 3 desks
|dw:1436820600480:dw|
i did not fill itn all the lines as that will take too long but hopefully you see what is going on there

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